# zbMATH — the first resource for mathematics

## Philosophical Transactions of the Royal Society of London. Series A

### Physical Sciences and Engineering

 Short Title: Philos. Trans. R. Soc. Lond., Ser. A Publisher: The Royal Society of London, London ISSN: 0962-8428; 1471-2962/e Online: http://www.journals.royalsoc.ac.uk/content/102021/http://www.jstor.org/journals/09628428.html Predecessor: Philosophical Transactions of the Royal Society of London. Ser. A Successor: Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences Comments: No longer indexed
 Documents Indexed: 220 Publications (1990–1995)
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#### Latest Issues

 353, No. 1702 (1995) 353, No. 1701 (1995) 352, No. 1700 (1995) 352, No. 1698 (1995) 351, No. 1695 (1995) 350, No. 1694 (1995) 350, No. 1692 (1995) 349, No. 1691 (1994) 348, No. 1688 (1994) 348, No. 1687 (1994) 347, No. 1685 (1994) 347, No. 1684 (1994) 347, No. 1683 (1994) 347, No. 1682 (1994) 346, No. 1680 (1994) 346, No. 1679 (1994) 345, No. 1677 (1993) 345, No. 1676 (1993) 345, No. 1675 (1993) 344, No. 1671 (1993) 343, No. 1668 (1993) 343, No. 1667 (1993) 342, No. 1666 (1993) 342, No. 1665 (1993) 341, No. 1662 (1992) 340, No. 1659 (1992) 340, No. 1658 (1992) 340, No. 1656 (1992) 339, No. 1655 (1992) 339, No. 1653 (1992) 339, No. 1652 (1992) 338, No. 1651 (1992) 338, No. 1650 (1992) 338, No. 1649 (1992) 337, No. 1648 (1991) 337, No. 1647 (1991) 337, No. 1646 (1991) 336, No. 1664 (1991) 336, No. 1641 (1991) 336, No. 1640 (1991) 335, No. 1639 (1991) 335, No. 1637 (1991) 335, No. 1636 (1991) 334, No. 1634 (1991) 334, No. 1633 (1991) 333, No. 1631 (1990) 333, No. 1630 (1990) 332, No. 1627 (1990) 332, No. 1624 (1990) 332, No. 1623 (1990)
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#### Authors

 7 Needham, David John 7 Scott, Stephen K. 5 Naghdi, Paul Mansour 5 Smith, Frank T. 4 Hall, Philip 4 Merkin, John H. 3 Billingham, John 3 Brenner, Howard 3 Brindley, John 3 Chua, Leon Ong 3 Showalter, Kenneth 3 Srinivasa, Arun R. 3 Thompson, John Michael T. 3 Tong, Howell 2 Atkinson, Colin 2 Bishop, Steven R. 2 Blackaby, Nicholas D. 2 Buckingham, Michael J. 2 Collier, S. M. 2 Craster, Richard V. 2 Edwards, David A. 2 Falco, R. E. 2 Foale, Stephen 2 Granville, Andrew James 2 Green, Albert E. 2 Grenfell, Bryan T. 2 King, Andrew C. 2 Majda, Andrew J. 2 Mavrovouniotis, Gretchen M. 2 Murray, James Dickson 2 Ottino, Julio M. 2 Pivka, Ladislav 2 Rainey, R. C. T. 2 Savage, M. D. 2 Scott, J. F. M. 2 Soliman, Mohamed S. 2 Stuart, J. T. 2 Toro, Eleuterio F. 2 Vaughan, Robert C. 2 Weiss, Nigel O. 1 Alexeev, Boris V. 1 Allen, J. David 1 Aref, Hassan 1 Argyris, John Hadji 1 Avellaneda, Marco 1 Aykroyd, Robert G. 1 Bajaj, Anil K. 1 Baker, Graham 1 Balakotaiah, Vemuri 1 Ball, John M. 1 Ben-Dor, Gabi 1 Benedicks, Michael 1 Bensoussan, Alain 1 Biktashev, Vadim N. 1 Bogdanova-Ryzhova, Elena V. 1 Bolker, Benjamin M. 1 Bona, Jerry Lloyd 1 Borgas, Michael S. 1 Bourlioux, Anne 1 Boyer, Don L. 1 Broadbent, E. G. 1 Brown, Philip J. 1 Brown, Roger H. 1 Brown, Susan N. 1 Budd, Christopher John 1 Buizza, R. 1 Burke, Meghan A. 1 Camassa, Roberto 1 Champneys, Alan R. 1 Chang, Hsuehchia 1 Chatwin, Philip C. 1 Cheng, Bing 1 Chruściel, Piotr Tadeusz 1 Clark, John M. C. 1 Clarke, John F. 1 Collins, Ian F. 1 Colquhoun, D. G. 1 Constantin, Peter 1 Cooney, C. L. 1 Corke, Thomas C. 1 Cowell, Robert G. 1 Cowley, Stephen J. 1 Crewther, I. 1 Crighton, David George 1 Crouhy, Michel G. 1 Cruywagen, Gerhard C. 1 Cutler, Colleen D. 1 Daeche, N. 1 Davies, Anthony C. 1 Davies, Peter A. 1 Davis, Mark H. A. 1 Dawid, Alexander Philip 1 Denham, Michael C. 1 Denier, James P. 1 Deshpande, Mohan D. 1 Dewynne, Jeffrey N. 1 Dhanak, Manhar R. 1 Dionne, Benoit 1 Dougalis, Vassilios A. 1 Dougherty, J. P. ...and 242 more Authors
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#### Fields

 89 Fluid mechanics (76-XX) 35 Dynamical systems and ergodic theory (37-XX) 31 Partial differential equations (35-XX) 31 Biology and other natural sciences (92-XX) 24 Mechanics of deformable solids (74-XX) 18 Statistics (62-XX) 15 Mechanics of particles and systems (70-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Numerical analysis (65-XX) 9 Ordinary differential equations (34-XX) 8 Number theory (11-XX) 8 Geophysics (86-XX) 7 Probability theory and stochastic processes (60-XX) 7 Systems theory; control (93-XX) 6 Differential geometry (53-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Computer science (68-XX) 5 Relativity and gravitational theory (83-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Astronomy and astrophysics (85-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

189 Publications have been cited 2,067 times in 1,956 Documents Cited by Year
Proposed experimental tests of a theory of fine microstructure and the two-well problem. Zbl 0758.73009
Ball, J. M.; James, R. D.
1992
Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065
Pego, Robert L.; Weinstein, Michael I.
1992
Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1995
Stick-slip vibrations and chaos. Zbl 0709.70019
Popp, K.; Stelter, P.
1990
On the oblique reflexion and transmission of ocean waves at shore fast sea ice. Zbl 0816.73009
Fox, Colin; Squire, Vernon A.
1994
A dynamical theory of structured solids. I: Basic developments. Zbl 0807.73001
Naghdi, P. M.; Srinivasa, A. R.
1993
On Boltzmann and Landau equations. Zbl 0809.35137
Lions, P. L.
1994
Riemann problems and the WAF method for solving the two-dimensional shallow water equations. Zbl 0747.76027
Toro, E. F.
1992
Forced quasiperiodic oscillations of linear parametrically excited systems. (Chattering and related behaviour in impact oscillators.) Zbl 0816.70018
Budd, Chris; Dux, Felix
1994
The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I: Permanent form travelling waves. Zbl 0739.35033
Billingham, J.; Needham, D. J.
1991
On the receptivity problem for Görtler vortices: Vortex motions induced by wall roughness. Zbl 0850.76211
Denier, James P.; Hall, Philip; Seddougui, Sharon O.
1991
Self-similar behaviour for the equation of fast nonlinear diffusion. Zbl 0797.35097
King, J. R.
1993
Tension of organizing filaments of scroll waves. Zbl 0862.92002
Biktashev, V. N.; Holden, A. V.; Zhang, H.
1994
On the dynamics of near-wall turbulence. Zbl 0731.76033
Smith, C. R.; Walker, J. D. A.; Haidari, A. H.; Sobrun, U.
1991
Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system. Zbl 0867.35047
Petrov, Valery; Scott, Stephen K.; Showalter, Kenneth
1994
Dynamical complexities of forced impacting systems. Zbl 0748.70011
Foale, S.; Bishop, S. R.
1992
Equilibrium of elastic nets. Zbl 0734.73098
Steigmann, D. J.; Pipkin, A. C.
1991
Evolution of Hele-Shaw interface for small surface tension. Zbl 0778.76029
Tanveer, S.
1993
Discrete logarithms and local units. Zbl 0795.11063
Schirokauer, Oliver
1993
Equilibria, stability and excitability in a general class of plankton population models. Zbl 0857.92017
Truscott, J. E.; Brindley, J.
1994
Gravitational waves in general relativity. XIV: Bondi expansions and the ‘polyhomogeneity’ of $$\mathcal {J}$$. Zbl 0829.53065
Chruściel, Piotr T.; MacCallum, Malcolm A. H.; Singleton, David B.
1995
Chaotic advection of fluid particles. Zbl 0711.76044
Aref, Hassan
1990
The multifractal Lagrangian nature of turbulence. Zbl 0768.76026
Borgas, M. S.
1993
Analytical determination of bifurcations in an impact oscillator. Zbl 0813.70012
Foale, Stephen
1994
Stability of forced steady solitary waves. Zbl 0748.76058
Camassa, R.; Wu, T. Yao-tsu
1991
Archetypal response patterns for open chemical systems with two components. Zbl 0706.92025
Gray, P.; Scott, S. K.
1990
Statistical inference in the Lexis diagram. Zbl 0714.62102
Keiding, Niels
1990
Symmetry concepts for the geometry analysis of mixing flows. Zbl 0747.76050
Franjione, J. G.; Ottino, J. M.
1992
Local and global stability of a piecewise linear oscillator. Zbl 0748.70012
Kleczka, M.; Kreuzer, E.; Schiehlen, W.
1992
Bounds and estimates for the properties of nonlinear heterogeneous systems. Zbl 0776.73062
Ponte Castañeda, P.
1992
Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070
Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David
1995
Rigorous link between the conductivity and elastic moduli of fibre-reinforced composite materials. Zbl 0866.73039
Gibiansky, L. V.; Torquato, S.
1995
The weighted average flux method applied to the Euler equations. Zbl 0767.76043
Toro, E. F.
1992
The radiation and scattering of surface waves by a vertical circular cylinder in a channel. Zbl 0747.76024
Linton, C. M.; Evans, D. V.
1992
The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II: An initial-value problem with an immobilized or nearly immobilized autocatalyst. Zbl 0762.35048
Billingham, J.; Needham, D. J.
1991
The development of travelling waves in a simple isothermal chemical system with general orders of autocatalysis and decay. Zbl 0749.92025
Needham, D. J.; Merkin, J. H.
1991
Dispersion of chemical solutes in chromatographs and reactors. Zbl 0897.92039
Balakotaiah, Vemuri; Chang, Hsueh-Chia
1995
Impact oscillators. Zbl 0800.70069
Bishop, S. R.
1994
Nonlinear oscillations and chaos from digital filter overflow. Zbl 0870.58093
Davies, Anthony C.
1995
Structure and stability of solutions of the Euler equations: A Lagrangian approach. Zbl 0711.76001
Moffatt, H. K.
1990
On the advection of spherical and non-spherical particles in a non- uniform flow. Zbl 0711.76045
Maxey, M. R.
1990
Bifurcations and chaos in a model of a rolling railway wheelset. Zbl 0753.58019
Knudsen, Carsten; Feldberg, Rasmus; True, Hans
1992
Estimation of parameters in hidden Markov models. Zbl 0746.62086
Qian, W.; Titterington, D. M.
1991
Theoretical and numerical structure of unstable detonations. Zbl 0820.76091
Bourlioux, Anne; Majda, Andrew J.
1995
Ship stability criteria based on chaotic transients from incursive fractals. Zbl 0709.76021
Thompson, J. M. T.; Rainey, R. C. T.; Soliman, M. S.
1990
Simple examples with features of renormalization for turbulent transport. Zbl 0797.76036
Avellaneda, Marco; Majda, Andrew J.
1994
Nonlinear forecasting for the classification of natural time series. Zbl 0864.92001
Sugihara, George
1994
Engineering chaos for encryption and broadband communication. Zbl 0864.94002
Hasler, Martin
1995
On the use of Lagrangian variables in descriptions of unsteady boundary- layer separation. Zbl 0711.76031
Cowley, Stephen J.; Van Dommelen, Leon L.; Lam, Shui T.
1990
False bifurcations in chemical systems: Canards. Zbl 0744.92037
Peng, Bo; Gáspár, Vilmos; Showalter, Kenneth
1991
Chaos and nonlinear forecastability in economics and finance. Zbl 0863.90032
LeBaron, Blake
1994
Fluid loading with mean flow. I: Response of an elastic plate to localized excitation. Zbl 0735.76030
Crighton, D. G.; Oswell, J. E.
1991
On the amplitude dynamics and crisis in resonant motion of stretched strings. Zbl 0753.58018
Bajaj, A. K.; Johnson, J. M.
1992
Numerical and asymptotic methods for certain viscous free-surface flows. Zbl 0806.76022
Pritchard, W. G.; Scott, L. R.; Taverner, S. J.
1992
A note on super-replicating strategies. Zbl 0822.90020
Davis, M. H. A.; Clark, J. M. C.
1994
Measles as a case study in nonlinear forecasting and chaos. Zbl 0858.92029
Grenfell, B. T.; Kleczkowski, A.; Ellner, S. P.; Bolker, B. M.
1994
Chaos from a hysteresis and switched circuit. Zbl 0870.58097
Saito, Toshimichi; Nakagawa, Shinji
1995
A universal circuit for studying chaotic phenomena. Zbl 0870.58054
Chua, Leon O.; Pivka, Ladislav; Wu, Chai Wah
1995
Lagrangian microscales in turbulence. Zbl 0711.76041
Pope, S. B.
1990
Multi-factor term structure models. Zbl 0822.90015
Duffie, Darrell; Kan, Rui
1994
Small fractional parts of additive forms. Zbl 0792.11018
Harman, Glyn
1993
Sieving integers without large prime factors. (Cribler les entiers sans grand facteur premier.) Zbl 0795.11042
Tenenbaum, G.
1993
A hyperelliptic smoothness test. I. Zbl 0808.11073
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
1993
Local optimal prediction: Exploiting strangeness and the variation of sensitivity to initial condition. Zbl 0859.62085
Smith, Leonard A.
1994
Basin explosions and escape phenomena in the twin-well Duffing oscillator: Compound global bifurcations organizing behaviour. Zbl 0713.58038
Ueda, Y.; Yoshida, S.; Stewart, H. B.; Thompson, J. M. T.
1990
Drag reduction and turbulent structure in two-dimensional channel flows. Zbl 0719.76518
Harder, K. J.; Tiederman, W. G.
1991
Network routing. Zbl 0746.90023
Kelly, F. P.
1991
The distributions of the apparent open times and shut times in a single channel record when brief events cannot be detected. Zbl 0724.92003
Hawkes, A. G.; Jalali, A.; Colquhoun, D.
1990
Chaos via mixed-mode oscillations. Zbl 0744.92017
Larter, Raima; Steinmetz, Curtis G.
1991
A direct theory of viscous fluid flow in pipes. II: Flow of incompressible viscous fluid in curved pipes. Zbl 0768.76019
Green, A. E.; Naghdi, P. M.; Stallard, M. J.
1993
A coherent structure model of the turbulent boundary layer and its ability to predict Reynolds number dependence. Zbl 0731.76035
Falco, R. E.
1991
Numerical simulation of the dynamics of turbulent boundary layers: Perspectives of a transition simulator. Zbl 0731.76058
Zang, Thomas A.
1991
On the symmetries of equilibrium stellar models. Zbl 0770.76075
Lindblom, Lee
1992
Interest rate volatility and the shape of the term structure. Zbl 0822.90014
Brown, Roger H.; Schaefer, Stephen M.
1994
Integers, without large prime factors, in arithmetic progressions. II. Zbl 0792.11036
Granville, Andrew
1993
Foundations of non-equilibrium statistical mechanics. Zbl 0803.60096
Dougherty, J. P.
1994
Nonlinear waves, patterns and spatio-temporal chaos in cellular neural networks. Zbl 0868.58072
Pérez-Muñuzuri, V.; Muñuzuri, A. P.; Gómez-Gesteira, M.; Pérez-Villar, V.; Pivka, L.; Chua, L. O.
1995
Mechanics of ship capsize under direct and parametric wave excitation. Zbl 0747.76030
Thompson, J. M. T.; Rainey, R. C. T.; Soliman, M. S.
1992
Stock price fluctuation as a diffusion in a random environment. Zbl 0822.90022
Föllmer, Hans
1994
Path-dependent options and transaction costs. Zbl 0822.90021
Dewynne, J. N.; Whalley, A. E.; Wilmott, P.
1994
On a free boundary problem that arises in portfolio management. Zbl 0822.90011
Pliska, Stanley R.; Selby, Michael J. P.
1994
Attractors for the modifications of the three-dimensional Navier-Stokes equations. Zbl 0807.35109
1994
A dynamical theory of structured solids. II: Special constitutive equations and special cases of the theory. Zbl 0807.73002
Naghdi, P. M.; Srinivasa, A. R.
1993
Pattern formation in recirculating flows of suspensions of orientable particles. Zbl 0811.76092
Szeri, Andrew J.
1993
Charge transport through a spatially periodic porous medium: Electrokinetic and convective dispersion phenomena. Zbl 0873.76081
Edwards, David A.
1995
A theory of correlation dimension for stationary time series. Zbl 0859.62078
Cutler, Colleen D.
1994
Some aspects of Wiener-Hopf factorization. Zbl 0735.47010
Williams, David
1991
Birkhoff signature change: A criterion for the instability of chaotic resonance. Zbl 0748.70013
McRobie, F. A.
1992
On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion. Zbl 0744.92018
Maini, P. K.; Burke, Meghan A.; Murray, J. D.
1991
On the theory of ring spinning. Zbl 0768.65080
Fraser, W. B.
1993
Higher harmonic resonances in free convection between vertical parallel plates. Zbl 0768.76065
Fujimura, K.
1992
The role of nonlinear critical layers in boundary layer transition. Zbl 0843.76034
Goldstein, M. E.
1995
Independence in time series: Another look at the BDS test. Zbl 0859.62081
Wolff, Rodney C. L.
1994
Quadratic-inverse spectrum estimates: Applications to palaeoclimatology. Zbl 0714.62110
Thomson, David J.
1990
Real and complex asymptotic symmetries in quantum gravity, irreducible representations, polygons, polyhedra, and the $$A, D, E$$ series. Zbl 0824.22020
McCarthy, Patrick J.
1992
Bayesian computational methods. Zbl 0743.62024
1991
A direct theory of viscous fluid flow in pipes. I: Basic general developments. Zbl 0768.76018
Green, A. E.; Naghdi, P. M.
1993
On hypersonic boundary-layer interactions and transition. Zbl 0726.76060
Brown, S. N.; Khorrami, A. F.; Neish, A.; Smith, F. T.
1991
Towards a closure scheme for turbulent boundary layers using the attached eddy hypothesis. Zbl 0727.76062
Perry, A. E.; Li, J. D.; Marušić, I.
1991
Recent advances in the use of separation of variables methods in general relativity. Zbl 0776.53050
Kalnins, E. G.; Miller, Willard jun.; Williams, G. C.
1992
Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
1995
Gravitational waves in general relativity. XIV: Bondi expansions and the ‘polyhomogeneity’ of $$\mathcal {J}$$. Zbl 0829.53065
Chruściel, Piotr T.; MacCallum, Malcolm A. H.; Singleton, David B.
1995
Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070
Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David
1995
Rigorous link between the conductivity and elastic moduli of fibre-reinforced composite materials. Zbl 0866.73039
Gibiansky, L. V.; Torquato, S.
1995
Dispersion of chemical solutes in chromatographs and reactors. Zbl 0897.92039
Balakotaiah, Vemuri; Chang, Hsueh-Chia
1995
Nonlinear oscillations and chaos from digital filter overflow. Zbl 0870.58093
Davies, Anthony C.
1995
Theoretical and numerical structure of unstable detonations. Zbl 0820.76091
Bourlioux, Anne; Majda, Andrew J.
1995
Engineering chaos for encryption and broadband communication. Zbl 0864.94002
Hasler, Martin
1995
Chaos from a hysteresis and switched circuit. Zbl 0870.58097
Saito, Toshimichi; Nakagawa, Shinji
1995
A universal circuit for studying chaotic phenomena. Zbl 0870.58054
Chua, Leon O.; Pivka, Ladislav; Wu, Chai Wah
1995
Nonlinear waves, patterns and spatio-temporal chaos in cellular neural networks. Zbl 0868.58072
Pérez-Muñuzuri, V.; Muñuzuri, A. P.; Gómez-Gesteira, M.; Pérez-Villar, V.; Pivka, L.; Chua, L. O.
1995
Charge transport through a spatially periodic porous medium: Electrokinetic and convective dispersion phenomena. Zbl 0873.76081
Edwards, David A.
1995
The role of nonlinear critical layers in boundary layer transition. Zbl 0843.76034
Goldstein, M. E.
1995
Distortion of the stagnation-point flow due to cross-stream vorticity in the external flow. Zbl 0847.76013
Dhanak, M. R.; Stuart, J. T.
1995
The Narasimhan-Seshadri theorem for parabolic bundles: An orbifold approach. Zbl 0864.57033
Nasatyr, E. B.; Steer, B.
1995
The initiation of detonation from general non-uniformly distributed initial conditions. Zbl 0856.76089
Short, Mark
1995
The formation of magnetic singularities by time-dependent collapse of an $$X$$-type magnetic field. Zbl 0829.76098
Priest, E. R.; Titov, V. S.; Rickard, G.
1995
Shape from symmetry: Detecting and exploiting symmetry in affine images. Zbl 0939.68882
1995
Propagation and interaction of waves in a relaxing gas. Zbl 0844.76042
1995
Solitary-like waves in boundary-layer flows and their randomization. Zbl 0846.76021
Bogdanova-Ryzhova, E. V.; Ryzhov, O. S.
1995
On nonlinearity of transitional boundary-layer flows. Zbl 0850.76003
Dovgal, A. V.; Kozlov, V. V.
1995
The nonlinear evolution of the inviscid secondary instability of streamwise vortex structures. Zbl 0833.76025
Blackaby, Nicholas D.; Hall, Philip
1995
A glimpse of nonlinear phenomena from Chua’s oscillator. Zbl 0868.34029
Chua, Leon O.
1995
Experimental chaos from non-autonomous electronic circuits. Zbl 0870.58062
Lakshmanan, M.; Murali, K.
1995
Singularities encountered in three-dimensional boundary layers under an adverse or favourable pressure gradient. Zbl 0828.76072
Timoshin, S. N.; Smith, F. T.
1995
Time-periodic spatially periodic planforms in Euclidean equivariant partial differential equations. Zbl 0851.35108
Dionne, Benoit; Golubitsky, Martin; Silber, Mary; Stewart, Ian
1995
On spikes and spots: Strongly nonlinear theory and experimental comparisons. Zbl 0838.76030
Smith, F. T.
1995
Experimental chaos from autonomous electronic circuits. Zbl 0868.94060
Kennedy, Michael Peter
1995
Migration from plastic packages into their contents. I: The role of mathematical models. Zbl 0820.92030
Lum Wan, J. A.; Chatwin, P. C.; Katan, L. L.
1995
Graham, W. R.
1995
Three-dimensional mode growth in boundary layers with tuned and detuned subharmonic resonance. Zbl 0850.76004
Corke, T. C.
1995
Controlling chaos in electronic circuits. Zbl 0864.94037
Ogorzałek, Maciej J.
1995
On the oblique reflexion and transmission of ocean waves at shore fast sea ice. Zbl 0816.73009
Fox, Colin; Squire, Vernon A.
1994
On Boltzmann and Landau equations. Zbl 0809.35137
Lions, P. L.
1994
Forced quasiperiodic oscillations of linear parametrically excited systems. (Chattering and related behaviour in impact oscillators.) Zbl 0816.70018
Budd, Chris; Dux, Felix
1994
Tension of organizing filaments of scroll waves. Zbl 0862.92002
Biktashev, V. N.; Holden, A. V.; Zhang, H.
1994
Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system. Zbl 0867.35047
Petrov, Valery; Scott, Stephen K.; Showalter, Kenneth
1994
Equilibria, stability and excitability in a general class of plankton population models. Zbl 0857.92017
Truscott, J. E.; Brindley, J.
1994
Analytical determination of bifurcations in an impact oscillator. Zbl 0813.70012
Foale, Stephen
1994
Impact oscillators. Zbl 0800.70069
Bishop, S. R.
1994
Simple examples with features of renormalization for turbulent transport. Zbl 0797.76036
Avellaneda, Marco; Majda, Andrew J.
1994
Nonlinear forecasting for the classification of natural time series. Zbl 0864.92001
Sugihara, George
1994
Chaos and nonlinear forecastability in economics and finance. Zbl 0863.90032
LeBaron, Blake
1994
A note on super-replicating strategies. Zbl 0822.90020
Davis, M. H. A.; Clark, J. M. C.
1994
Measles as a case study in nonlinear forecasting and chaos. Zbl 0858.92029
Grenfell, B. T.; Kleczkowski, A.; Ellner, S. P.; Bolker, B. M.
1994
Multi-factor term structure models. Zbl 0822.90015
Duffie, Darrell; Kan, Rui
1994
Local optimal prediction: Exploiting strangeness and the variation of sensitivity to initial condition. Zbl 0859.62085
Smith, Leonard A.
1994
Interest rate volatility and the shape of the term structure. Zbl 0822.90014
Brown, Roger H.; Schaefer, Stephen M.
1994
Foundations of non-equilibrium statistical mechanics. Zbl 0803.60096
Dougherty, J. P.
1994
Stock price fluctuation as a diffusion in a random environment. Zbl 0822.90022
Föllmer, Hans
1994
Path-dependent options and transaction costs. Zbl 0822.90021
Dewynne, J. N.; Whalley, A. E.; Wilmott, P.
1994
On a free boundary problem that arises in portfolio management. Zbl 0822.90011
Pliska, Stanley R.; Selby, Michael J. P.
1994
Attractors for the modifications of the three-dimensional Navier-Stokes equations. Zbl 0807.35109
1994
A theory of correlation dimension for stationary time series. Zbl 0859.62078
Cutler, Colleen D.
1994
Independence in time series: Another look at the BDS test. Zbl 0859.62081
Wolff, Rodney C. L.
1994
Orthogonal projection, embedding dimension and sample size in chaotic time series from a statistical perspective. Zbl 0859.62077
Cheng, B.; Tong, H.
1994
On prediction and chaos in stochastic systems. Zbl 0859.62086
Yao, Qiwei; Tong, Howell
1994
Multistability, oscillations and travelling waves in a product-feedback autocatalator model. II: The initiation and propagation of travelling waves. Zbl 0821.92026
Collier, S. M.; Merkin, J. H.; Scott, S. K.
1994
On the existence of slow manifolds for problems with different timescales. Zbl 0831.35130
Kreiss, Heinz-Otto; Lorenz, Jens
1994
Crack problems in a poroelastic medium: An asymptotic approach. Zbl 0810.73047
Craster, R. V.; Atkinson, C.
1994
Properties of cross-well chaos in an impacting system. Zbl 0815.70015
Shaw, Steven W.; Haddow, Alan G.; Hsieh, Shang-Rou
1994
A two-dimensional model for the dynamics of sea ice. Zbl 0813.73049
Gray, J. M. N. T.; Morland, L. W.
1994
Singular vectors and the predictability of weather and climate. Zbl 0865.76066
Palmer, T. N.; Buizza, R.; Molteni, F.; Chen, Y.-Q.; Corti, S.
1994
Measuring and characterizing spatial patterns, dynamics and chaos in spatially extended dynamical systems and ecologies. Zbl 0868.35055
Rand, D. A.
1994
The general mean-variance portfolio selection problem. Zbl 0822.90010
Markowitz, Harry M.
1994
The generalized Boltzmann equation, generalized hydrodynamic equations and their applications. Zbl 0820.76073
Alexeev, Boris V.
1994
New developments in the ergodic theory of nonlinear dynamical systems. Zbl 0798.58045
Benedicks, Michael
1994
Rigid block dynamics confined between side-walls. Zbl 0801.70004
Hogan, S. J.
1994
The effect of undulations on the electrostatic potential in a polyelectrolyte system. Zbl 0811.92026
Miklavic, S. J.
1994
The effects of variable diffusivity on the development of travelling waves in a class of reaction-diffusion equations. Zbl 0815.35043
King, A. C.; Needham, D. J.
1994
Paradigm change in prediction. Zbl 0860.62070
Weigend, Andreas S.
1994
Fractals in earthquakes. Zbl 0860.73051
Matsuzaki, Mitsuhiro
1994
Stochastic equity volatility and the capital structure of the firm. Zbl 0822.90012
Bensoussan, A.; Crouhy, M.; Galai, D.
1994
Chaos in geophysical fluids. I: General introduction. Zbl 0864.76002
Hide, Raymond
1994
Threshold bifurcation in tissue interaction models for spatial pattern generation. Zbl 0857.92004
Murray, J. D.; Cruywagen, Gerhard C.
1994
Simple and complex spiral wave dynamics. Zbl 0862.92022
Müller, Stefan C.; Zykov, Vladimir S.
1994
Dynamics of scroll waves in inhomogeneous excitable media. Zbl 0862.92014
1994
Nonlinear phenomena in excitable media. Zbl 0857.00021
Brindley, J.; Gray, P.
1994
A dynamical theory of structured solids. I: Basic developments. Zbl 0807.73001
Naghdi, P. M.; Srinivasa, A. R.
1993
Self-similar behaviour for the equation of fast nonlinear diffusion. Zbl 0797.35097
King, J. R.
1993
Evolution of Hele-Shaw interface for small surface tension. Zbl 0778.76029
Tanveer, S.
1993
Discrete logarithms and local units. Zbl 0795.11063
Schirokauer, Oliver
1993
The multifractal Lagrangian nature of turbulence. Zbl 0768.76026
Borgas, M. S.
1993
Small fractional parts of additive forms. Zbl 0792.11018
Harman, Glyn
1993
Sieving integers without large prime factors. (Cribler les entiers sans grand facteur premier.) Zbl 0795.11042
Tenenbaum, G.
1993
A hyperelliptic smoothness test. I. Zbl 0808.11073
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
1993
A direct theory of viscous fluid flow in pipes. II: Flow of incompressible viscous fluid in curved pipes. Zbl 0768.76019
Green, A. E.; Naghdi, P. M.; Stallard, M. J.
1993
Integers, without large prime factors, in arithmetic progressions. II. Zbl 0792.11036
Granville, Andrew
1993
A dynamical theory of structured solids. II: Special constitutive equations and special cases of the theory. Zbl 0807.73002
Naghdi, P. M.; Srinivasa, A. R.
1993
Pattern formation in recirculating flows of suspensions of orientable particles. Zbl 0811.76092
Szeri, Andrew J.
1993
On the theory of ring spinning. Zbl 0768.65080
Fraser, W. B.
1993
A direct theory of viscous fluid flow in pipes. I: Basic general developments. Zbl 0768.76018
Green, A. E.; Naghdi, P. M.
1993
Routes to chaos and turbulence. A computational introduction. Zbl 0787.58032
Argyris, John; Faust, Gunter; Haase, Maria
1993
Smoothing ‘smooth’ numbers. Zbl 0795.11041
Friedlander, John B.; Granville, Andrew
1993
Further improvements in Waring’s problem. III: Eighth powers. Zbl 0849.11077
Vaughan, R. C.; Wooley, T. D.
1993
On the baroclinic dynamics, Hamiltonian formulation and general stability characteristics of density-driven surface currents and fronts over a sloping continental shelf. Zbl 0812.76032
Swaters, Gordon E.
1993
On the Görtler instability in hypersonic flows: Sutherland law fluids and real gas effects. Zbl 0768.76020
Fu, Yibin; Hall, Philip; Blackaby, Nicholas
1993
A review of the central role of nonlinear interactions in wind-wave evolution. Zbl 0768.76008
Young, I. R.; Van Vledder, G. Ph.
1993
Hypothetical graphite structures with negative Gaussian curvature. Zbl 0778.53006
Mackay, A. L.; Terrones, H.
1993
Geodesic domes and fullerenes. Zbl 0777.52010
Tarnai, T.
1993
...and 89 more Documents
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#### Cited by 2,897 Authors

 21 Zumbrun, Kevin R. 16 Dolzmann, Georg 14 Conti, Sergio 14 Sahoo, Trilochan 13 Bona, Jerry Lloyd 13 Merkin, John H. 12 Luo, Albert C. J. 11 Biktashev, Vadim N. 11 Dougalis, Vassilios A. 11 Steigmann, David J. 11 Zhang, Kewei 10 Holden, Arun V. 10 Luskin, Mitchell 10 Meylan, Michael H. 10 Piiroinen, Petri T. 10 Toro, Eleuterio F. 9 Humpherys, Jeffrey 9 Vazquez, Juan Luis 8 Carstensen, Carsten 8 Il’ichev, Andreĭ Teĭmurazovich 8 Zhang, Weiguo 7 Biferale, Luca 7 Danca, Marius-Florin 7 Della Porta, Francesco 7 DeSimone, Antonio 7 Hall, Philip 7 Mitsotakis, Dimitrios E. 7 Müller, Stefan 7 Roubíček, Tomáš 6 Bělík, Pavel 6 Bhattacharya, Kaushik 6 Brindley, John 6 Chen, Guanrong 6 dell’Isola, Francesco 6 Denier, James P. 6 di Bernardo, Mario 6 Ericksen, Jerald Laverne 6 Fečkan, Michal 6 Galvanetto, Ugo 6 Hackl, Klaus 6 James, Richard D. 6 Johnson, Mathew A. 6 Karakashian, Ohannes A. 6 Lafortune, Stéphane 6 Li, Zhiping 6 Majda, Andrew J. 6 Mikelić, Andro 6 Nordmark, Arne B. 6 Panfilov, Alexander V. 6 Pedregal, Pablo 6 Polidoro, Sergio 6 Ponte Castañeda, Pedro 6 Popp, Karl Karl 6 Qi, Yuanwei 6 Sandstede, Björn 6 Shparlinski, Igor E. 6 Smith, Frank T. 6 Wallace, Rodrick 6 Wu, Xuesong 6 Xu, Wei 5 Alexandre, Radjesvarane 5 Barker, Blake 5 Bennetts, Luke G. 5 Bhattacharjee, Joydip 5 Bishop, Steven R. 5 Budd, Christopher John 5 Cermelli, Paolo 5 Desroches, Mathieu 5 Ghazaryan, Anna 5 Govindjee, Sanjay 5 Grebogi, Celso 5 Kapitaniak, Tomasz 5 Kohn, Robert Vita 5 Latushkin, Yuri 5 Ottino, Julio M. 5 Pascucci, Andrea 5 Peigney, Michaël 5 Pelinovsky, Dmitry Efimovich 5 Sevostianov, Igor 5 Smith, Leonard A. 5 Toschi, Federico 5 Tzvetkov, Nikolay 5 Wei, Juncheng 5 Wen, Guilin 5 Yu, Hongjun 4 Ashwin, Peter 4 Avrutin, Viktor 4 Awrejcewicz, Jan 4 Banerjee, Soumitro 4 Barbulescu, Razvan 4 Blazejczyk-Okolewska, Barbara 4 Bowles, Robert I. 4 Bowong, Samuel 4 Brocchini, Maurizio 4 Bronski, Jared C. 4 Chen, Xinfu 4 Chua, Leon Ong 4 Crooks, Elaine C. M. 4 Das, Dilip Kumar 4 Das, Santu ...and 2,797 more Authors
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#### Cited in 358 Journals

 119 Journal of Fluid Mechanics 102 Physica D 94 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 77 Physics of Fluids 58 Journal of the Mechanics and Physics of Solids 57 Chaos, Solitons and Fractals 42 Archive for Rational Mechanics and Analysis 38 Computer Methods in Applied Mechanics and Engineering 37 Chaos 33 Journal of Differential Equations 28 Nonlinear Dynamics 27 Journal of Computational Physics 26 International Journal of Engineering Science 25 Journal of Engineering Mathematics 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Communications in Mathematical Physics 20 Journal of Mathematical Analysis and Applications 20 European Journal of Mechanics. B. Fluids 19 Wave Motion 17 Mathematics of Computation 17 Continuum Mechanics and Thermodynamics 17 Mathematics and Mechanics of Solids 17 Communications in Nonlinear Science and Numerical Simulation 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Mathematical and Computer Modelling 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Computers and Fluids 14 Meccanica 13 Journal of Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Applied Numerical Mathematics 13 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 13 Nonlinear Analysis. Real World Applications 12 Journal of Statistical Physics 12 Applied Mathematics and Computation 12 Mathematics and Computers in Simulation 12 Applied Mathematical Modelling 12 European Journal of Mechanics. A. Solids 11 Studies in Applied Mathematics 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Journal of Nonlinear Science 10 Acta Mechanica 10 Dynamics and Stability of Systems 10 Journal of Elasticity 10 Dynamical Systems 9 Theoretical and Computational Fluid Dynamics 9 Journal of Computational and Applied Mathematics 9 Calculus of Variations and Partial Differential Equations 8 Computers & Mathematics with Applications 8 International Journal for Numerical Methods in Fluids 8 Archive of Applied Mechanics 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Combustion Theory and Modelling 7 Journal of Functional Analysis 7 Japan Journal of Industrial and Applied Mathematics 7 The Annals of Applied Probability 7 Communications in Partial Differential Equations 7 Quantitative Finance 7 Discrete and Continuous Dynamical Systems. Series B 7 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Communications on Pure and Applied Mathematics 6 Mathematical Biosciences 6 Mathematical Methods in the Applied Sciences 6 Physics of Fluids, A 6 Bulletin of Mathematical Biology 6 Shock Waves 6 Applied Mathematics Letters 6 Journal of the American Mathematical Society 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Applied Mathematics 6 Mathematical Problems in Engineering 6 Journal of High Energy Physics 6 Acta Mechanica Sinica 6 Journal of Theoretical Biology 5 General Relativity and Gravitation 5 Journal of Mathematical Biology 5 Nonlinearity 5 Applied Mathematics and Mechanics. (English Edition) 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Scientific Computing 5 Journal of Statistical Computation and Simulation 5 Bulletin of the American Mathematical Society. New Series 5 Journal of Mathematical Chemistry 5 Mathematical Finance 4 Fluid Dynamics 4 Journal of the Franklin Institute 4 Theoretical and Mathematical Physics 4 Automatica 4 International Journal of Circuit Theory and Applications 4 Journal of Number Theory 4 Mathematika 4 Quarterly of Applied Mathematics 4 Acta Applicandae Mathematicae 4 International Journal of Computer Mathematics 4 Pattern Recognition 4 Stochastic Processes and their Applications 4 Computational Statistics and Data Analysis 4 Complexity 4 Abstract and Applied Analysis ...and 258 more Journals
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#### Cited in 51 Fields

 611 Fluid mechanics (76-XX) 492 Partial differential equations (35-XX) 385 Mechanics of deformable solids (74-XX) 303 Dynamical systems and ergodic theory (37-XX) 185 Ordinary differential equations (34-XX) 170 Biology and other natural sciences (92-XX) 169 Numerical analysis (65-XX) 136 Mechanics of particles and systems (70-XX) 98 Statistical mechanics, structure of matter (82-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 72 Statistics (62-XX) 69 Probability theory and stochastic processes (60-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Geophysics (86-XX) 60 Classical thermodynamics, heat transfer (80-XX) 59 Number theory (11-XX) 56 Information and communication theory, circuits (94-XX) 52 Systems theory; control (93-XX) 34 Relativity and gravitational theory (83-XX) 32 Differential geometry (53-XX) 24 Computer science (68-XX) 18 Operator theory (47-XX) 18 Operations research, mathematical programming (90-XX) 16 Optics, electromagnetic theory (78-XX) 13 Integral equations (45-XX) 12 Quantum theory (81-XX) 11 Measure and integration (28-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Real functions (26-XX) 7 Functional analysis (46-XX) 6 Algebraic geometry (14-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 5 History and biography (01-XX) 5 Topological groups, Lie groups (22-XX) 5 Astronomy and astrophysics (85-XX) 4 Special functions (33-XX) 4 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX)