Philosophical Transactions of the Royal Society of London. Series APhysical 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) all top 5 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) all top 5 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. Trevor 2 Toro, Eleuterio Francisco 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 MacLeod 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 North 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 Constantin, Peter 1 Cooney, C. L. 1 Corke, Thomas C. 1 Corti, Susanna 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 Herbert Ainsworth 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 190 Publications have been cited 2,269 times in 2,120 Documents Cited by ▼ Year ▼ Proposed experimental tests of a theory of fine microstructure and the two-well problem. Zbl 0758.73009Ball, J. M.; James, R. D. 214 1992 Eigenvalues, and instabilities of solitary waves. Zbl 0776.35065Pego, Robert L.; Weinstein, Michael I. 164 1992 Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 76 1995 On the oblique reflexion and transmission of ocean waves at shore fast sea ice. Zbl 0816.73009Fox, Colin; Squire, Vernon A. 76 1994 Stick-slip vibrations and chaos. Zbl 0709.70019Popp, K.; Stelter, P. 74 1990 On Boltzmann and Landau equations. Zbl 0809.35137Lions, P. L. 54 1994 A dynamical theory of structured solids. I: Basic developments. Zbl 0807.73001Naghdi, P. M.; Srinivasa, A. R. 49 1993 Forced quasiperiodic oscillations of linear parametrically excited systems. (Chattering and related behaviour in impact oscillators.) Zbl 0816.70018Budd, Chris; Dux, Felix 48 1994 Riemann problems and the WAF method for solving the two-dimensional shallow water equations. Zbl 0747.76027Toro, E. F. 47 1992 The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I: Permanent form travelling waves. Zbl 0739.35033Billingham, J.; Needham, D. J. 45 1991 Self-similar behaviour for the equation of fast nonlinear diffusion. Zbl 0797.35097King, J. R. 37 1993 On the receptivity problem for Görtler vortices: Vortex motions induced by wall roughness. Zbl 0850.76211Denier, James P.; Hall, Philip; Seddougui, Sharon O. 37 1991 On the dynamics of near-wall turbulence. Zbl 0731.76033Smith, C. R.; Walker, J. D. A.; Haidari, A. H.; Sobrun, U. 35 1991 Tension of organizing filaments of scroll waves. Zbl 0862.92002Biktashev, V. N.; Holden, A. V.; Zhang, H. 32 1994 Gravitational waves in general relativity. XIV: Bondi expansions and the ‘polyhomogeneity’ of \(\mathcal {J}\). Zbl 0829.53065Chruściel, Piotr T.; MacCallum, Malcolm A. H.; Singleton, David B. 31 1995 Dynamical complexities of forced impacting systems. Zbl 0748.70011Foale, S.; Bishop, S. R. 27 1992 Equilibrium of elastic nets. Zbl 0734.73098Steigmann, D. J.; Pipkin, A. C. 27 1991 Evolution of Hele-Shaw interface for small surface tension. Zbl 0778.76029Tanveer, S. 26 1993 Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system. Zbl 0867.35047Petrov, Valery; Scott, Stephen K.; Showalter, Kenneth 26 1994 Discrete logarithms and local units. Zbl 0795.11063Schirokauer, Oliver 24 1993 Equilibria, stability and excitability in a general class of plankton population models. Zbl 0857.92017Truscott, J. E.; Brindley, J. 22 1994 Chaotic advection of fluid particles. Zbl 0711.76044Aref, Hassan 22 1990 Stability of forced steady solitary waves. Zbl 0748.76058Camassa, R.; Wu, T. Yao-tsu 21 1991 The multifractal Lagrangian nature of turbulence. Zbl 0768.76026Borgas, M. S. 21 1993 Statistical inference in the Lexis diagram. Zbl 0714.62102Keiding, Niels 20 1990 Analytical determination of bifurcations in an impact oscillator. Zbl 0813.70012Foale, Stephen 20 1994 Symmetry concepts for the geometry analysis of mixing flows. Zbl 0747.76050Franjione, J. G.; Ottino, J. M. 19 1992 Local and global stability of a piecewise linear oscillator. Zbl 0748.70012Kleczka, M.; Kreuzer, E.; Schiehlen, W. 19 1992 The development of travelling waves in a simple isothermal chemical system with general orders of autocatalysis and decay. Zbl 0749.92025Needham, D. J.; Merkin, J. H. 19 1991 Archetypal response patterns for open chemical systems with two components. Zbl 0706.92025Gray, P.; Scott, S. K. 19 1990 The radiation and scattering of surface waves by a vertical circular cylinder in a channel. Zbl 0747.76024Linton, C. M.; Evans, D. V. 18 1992 Bounds and estimates for the properties of nonlinear heterogeneous systems. Zbl 0776.73062Ponte Castañeda, P. 18 1992 Rigorous link between the conductivity and elastic moduli of fibre-reinforced composite materials. Zbl 0866.73039Gibiansky, L. V.; Torquato, S. 18 1995 Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David 17 1995 False bifurcations in chemical systems: Canards. Zbl 0744.92037Peng, Bo; Gáspár, Vilmos; Showalter, Kenneth 16 1991 The weighted average flux method applied to the Euler equations. Zbl 0767.76043Toro, E. F. 16 1992 On the advection of spherical and non-spherical particles in a non- uniform flow. Zbl 0711.76045Maxey, M. R. 16 1990 Dispersion of chemical solutes in chromatographs and reactors. Zbl 0897.92039Balakotaiah, Vemuri; Chang, Hsueh-Chia 15 1995 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 0762.35048Billingham, J.; Needham, D. J. 15 1991 Ship stability criteria based on chaotic transients from incursive fractals. Zbl 0709.76021Thompson, J. M. T.; Rainey, R. C. T.; Soliman, M. S. 15 1990 Nonlinear oscillations and chaos from digital filter overflow. Zbl 0870.58093Davies, Anthony C. 15 1995 Theoretical and numerical structure of unstable detonations. Zbl 0820.76091Bourlioux, Anne; Majda, Andrew J. 14 1995 Bifurcations and chaos in a model of a rolling railway wheelset. Zbl 0753.58019Knudsen, Carsten; Feldberg, Rasmus; True, Hans 14 1992 Estimation of parameters in hidden Markov models. Zbl 0746.62086Qian, W.; Titterington, D. M. 14 1991 Structure and stability of solutions of the Euler equations: A Lagrangian approach. Zbl 0711.76001Moffatt, H. K. 14 1990 Impact oscillators. Zbl 0800.70069Bishop, S. R. 14 1994 Chaos and nonlinear forecastability in economics and finance. Zbl 0863.90032LeBaron, Blake 13 1994 Nonlinear forecasting for the classification of natural time series. Zbl 0864.92001Sugihara, George 13 1994 On the use of Lagrangian variables in descriptions of unsteady boundary- layer separation. Zbl 0711.76031Cowley, Stephen J.; Van Dommelen, Leon L.; Lam, Shui T. 13 1990 Fluid loading with mean flow. I: Response of an elastic plate to localized excitation. Zbl 0735.76030Crighton, D. G.; Oswell, J. E. 12 1991 The distributions of the apparent open times and shut times in a single channel record when brief events cannot be detected. Zbl 0724.92003Hawkes, A. G.; Jalali, A.; Colquhoun, D. 12 1990 Simple examples with features of renormalization for turbulent transport. Zbl 0797.76036Avellaneda, Marco; Majda, Andrew J. 12 1994 Engineering chaos for encryption and broadband communication. Zbl 0864.94002Hasler, Martin 12 1995 A note on super-replicating strategies. Zbl 0822.90020Davis, M. H. A.; Clark, J. M. C. 11 1994 Lagrangian microscales in turbulence. Zbl 0711.76041Pope, S. B. 11 1990 Chaos from a hysteresis and switched circuit. Zbl 0870.58097Saito, Toshimichi; Nakagawa, Shinji 11 1995 Multi-factor term structure models. Zbl 0822.90015Duffie, Darrell; Kan, Rui 10 1994 On the amplitude dynamics and crisis in resonant motion of stretched strings. Zbl 0753.58018Bajaj, A. K.; Johnson, J. M. 10 1992 Numerical and asymptotic methods for certain viscous free-surface flows. Zbl 0806.76022Pritchard, W. G.; Scott, L. R.; Taverner, S. J. 10 1992 Local optimal prediction: Exploiting strangeness and the variation of sensitivity to initial condition. Zbl 0859.62085Smith, Leonard A. 10 1994 Measles as a case study in nonlinear forecasting and chaos. Zbl 0858.92029Grenfell, B. T.; Kleczkowski, A.; Ellner, S. P.; Bolker, B. M. 10 1994 Basin explosions and escape phenomena in the twin-well Duffing oscillator: Compound global bifurcations organizing behaviour. Zbl 0713.58038Ueda, Y.; Yoshida, S.; Stewart, H. B.; Thompson, J. M. T. 10 1990 Drag reduction and turbulent structure in two-dimensional channel flows. Zbl 0719.76518Harder, K. J.; Tiederman, W. G. 10 1991 A hyperelliptic smoothness test. I. Zbl 0808.11073Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl 10 1993 A universal circuit for studying chaotic phenomena. Zbl 0870.58054Chua, Leon O.; Pivka, Ladislav; Wu, Chai Wah 10 1995 Small fractional parts of additive forms. Zbl 0792.11018Harman, Glyn 9 1993 Sieving integers without large prime factors. (Cribler les entiers sans grand facteur premier.) Zbl 0795.11042Tenenbaum, G. 9 1993 Path-dependent options and transaction costs. Zbl 0822.90021Dewynne, J. N.; Whalley, A. E.; Wilmott, P. 8 1994 Network routing. Zbl 0746.90023Kelly, F. P. 8 1991 Charge transport through a spatially periodic porous medium: Electrokinetic and convective dispersion phenomena. Zbl 0873.76081Edwards, David A. 8 1995 Foundations of non-equilibrium statistical mechanics. Zbl 0803.60096Dougherty, J. P. 8 1994 Numerical simulation of the dynamics of turbulent boundary layers: Perspectives of a transition simulator. Zbl 0731.76058Zang, Thomas A. 8 1991 On a free boundary problem that arises in portfolio management. Zbl 0822.90011Pliska, Stanley R.; Selby, Michael J. P. 7 1994 Interest rate volatility and the shape of the term structure. Zbl 0822.90014Brown, Roger H.; Schaefer, Stephen M. 7 1994 Mechanics of ship capsize under direct and parametric wave excitation. Zbl 0747.76030Thompson, J. M. T.; Rainey, R. C. T.; Soliman, M. S. 7 1992 Chaos via mixed-mode oscillations. Zbl 0744.92017Larter, Raima; Steinmetz, Curtis G. 7 1991 A direct theory of viscous fluid flow in pipes. II: Flow of incompressible viscous fluid in curved pipes. Zbl 0768.76019Green, A. E.; Naghdi, P. M.; Stallard, M. J. 7 1993 On the symmetries of equilibrium stellar models. Zbl 0770.76075Lindblom, Lee 7 1992 A theory of correlation dimension for stationary time series. Zbl 0859.62078Cutler, Colleen D. 7 1994 Integers, without large prime factors, in arithmetic progressions. II. Zbl 0792.11036Granville, Andrew 7 1993 Attractors for the modifications of the three-dimensional Navier-Stokes equations. Zbl 0807.35109Ladyzhenskaya, O. A. 7 1994 Nonlinear waves, patterns and spatio-temporal chaos in cellular neural networks. Zbl 0868.58072Pérez-Muñuzuri, V.; Muñuzuri, A. P.; Gómez-Gesteira, M.; Pérez-Villar, V.; Pivka, L.; Chua, L. O. 7 1995 A coherent structure model of the turbulent boundary layer and its ability to predict Reynolds number dependence. Zbl 0731.76035Falco, R. E. 7 1991 Stock price fluctuation as a diffusion in a random environment. Zbl 0822.90022Föllmer, Hans 6 1994 The role of nonlinear critical layers in boundary layer transition. Zbl 0843.76034Goldstein, M. E. 6 1995 Birkhoff signature change: A criterion for the instability of chaotic resonance. Zbl 0748.70013McRobie, F. A. 6 1992 On the theory of ring spinning. Zbl 0768.65080Fraser, W. B. 6 1993 A dynamical theory of structured solids. II: Special constitutive equations and special cases of the theory. Zbl 0807.73002Naghdi, P. M.; Srinivasa, A. R. 6 1993 Pattern formation in recirculating flows of suspensions of orientable particles. Zbl 0811.76092Szeri, Andrew J. 6 1993 The general mean-variance portfolio selection problem. Zbl 0822.90010Markowitz, Harry M. 5 1994 Shape from symmetry: Detecting and exploiting symmetry in affine images. Zbl 0939.68882Mukherjee, Dipti Prasad; Zisserman, Andrew; Brady, Michael 5 1995 On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion. Zbl 0744.92018Maini, P. K.; Burke, Meghan A.; Murray, J. D. 5 1991 Higher harmonic resonances in free convection between vertical parallel plates. Zbl 0768.76065Fujimura, K. 5 1992 Recent advances in the use of separation of variables methods in general relativity. Zbl 0776.53050Kalnins, E. G.; Miller, Willard jun.; Williams, G. C. 5 1992 The initiation of detonation from general non-uniformly distributed initial conditions. Zbl 0856.76089Short, Mark 5 1995 On prediction and chaos in stochastic systems. Zbl 0859.62086Yao, Qiwei; Tong, Howell 5 1994 Independence in time series: Another look at the BDS test. Zbl 0859.62081Wolff, Rodney C. L. 5 1994 Some aspects of Wiener-Hopf factorization. Zbl 0735.47010Williams, David 5 1991 Quadratic-inverse spectrum estimates: Applications to palaeoclimatology. Zbl 0714.62110Thomson, David J. 5 1990 Numerical predictions of ship motions at high forward speed. Zbl 0723.76019Faltinsen, O.; Zhao, R. 5 1991 Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R. 76 1995 Gravitational waves in general relativity. XIV: Bondi expansions and the ‘polyhomogeneity’ of \(\mathcal {J}\). Zbl 0829.53065Chruściel, Piotr T.; MacCallum, Malcolm A. H.; Singleton, David B. 31 1995 Rigorous link between the conductivity and elastic moduli of fibre-reinforced composite materials. Zbl 0866.73039Gibiansky, L. V.; Torquato, S. 18 1995 Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David 17 1995 Dispersion of chemical solutes in chromatographs and reactors. Zbl 0897.92039Balakotaiah, Vemuri; Chang, Hsueh-Chia 15 1995 Nonlinear oscillations and chaos from digital filter overflow. Zbl 0870.58093Davies, Anthony C. 15 1995 Theoretical and numerical structure of unstable detonations. Zbl 0820.76091Bourlioux, Anne; Majda, Andrew J. 14 1995 Engineering chaos for encryption and broadband communication. Zbl 0864.94002Hasler, Martin 12 1995 Chaos from a hysteresis and switched circuit. Zbl 0870.58097Saito, Toshimichi; Nakagawa, Shinji 11 1995 A universal circuit for studying chaotic phenomena. Zbl 0870.58054Chua, Leon O.; Pivka, Ladislav; Wu, Chai Wah 10 1995 Charge transport through a spatially periodic porous medium: Electrokinetic and convective dispersion phenomena. Zbl 0873.76081Edwards, David A. 8 1995 Nonlinear waves, patterns and spatio-temporal chaos in cellular neural networks. Zbl 0868.58072Pérez-Muñuzuri, V.; Muñuzuri, A. P.; Gómez-Gesteira, M.; Pérez-Villar, V.; Pivka, L.; Chua, L. O. 7 1995 The role of nonlinear critical layers in boundary layer transition. Zbl 0843.76034Goldstein, M. E. 6 1995 Shape from symmetry: Detecting and exploiting symmetry in affine images. Zbl 0939.68882Mukherjee, Dipti Prasad; Zisserman, Andrew; Brady, Michael 5 1995 The initiation of detonation from general non-uniformly distributed initial conditions. Zbl 0856.76089Short, Mark 5 1995 Propagation and interaction of waves in a relaxing gas. Zbl 0844.76042Radha, Ch.; Sharma, V. D. 4 1995 Distortion of the stagnation-point flow due to cross-stream vorticity in the external flow. Zbl 0847.76013Dhanak, M. R.; Stuart, J. T. 4 1995 The Narasimhan-Seshadri theorem for parabolic bundles: An orbifold approach. Zbl 0864.57033Nasatyr, E. B.; Steer, B. 4 1995 The formation of magnetic singularities by time-dependent collapse of an \(X\)-type magnetic field. Zbl 0829.76098Priest, E. R.; Titov, V. S.; Rickard, G. 3 1995 Time-periodic spatially periodic planforms in Euclidean equivariant partial differential equations. Zbl 0851.35108Dionne, Benoit; Golubitsky, Martin; Silber, Mary; Stewart, Ian 3 1995 Solitary-like waves in boundary-layer flows and their randomization. Zbl 0846.76021Bogdanova-Ryzhova, E. V.; Ryzhov, O. S. 3 1995 On nonlinearity of transitional boundary-layer flows. Zbl 0850.76003Dovgal, A. V.; Kozlov, V. V. 3 1995 The nonlinear evolution of the inviscid secondary instability of streamwise vortex structures. Zbl 0833.76025Blackaby, Nicholas D.; Hall, Philip 3 1995 A glimpse of nonlinear phenomena from Chua’s oscillator. Zbl 0868.34029Chua, Leon O. 3 1995 Experimental chaos from non-autonomous electronic circuits. Zbl 0870.58062Lakshmanan, M.; Murali, K. 3 1995 Rejecting outliers and estimating errors in an orthogonal-regression framework. Zbl 0846.62054Shapiro, Larry S.; Brady, Michael 2 1995 Singularities encountered in three-dimensional boundary layers under an adverse or favourable pressure gradient. Zbl 0828.76072Timoshin, S. N.; Smith, F. T. 2 1995 On spikes and spots: Strongly nonlinear theory and experimental comparisons. Zbl 0838.76030Smith, F. T. 2 1995 Experimental chaos from autonomous electronic circuits. Zbl 0868.94060Kennedy, Michael Peter 2 1995 Migration from plastic packages into their contents. I: The role of mathematical models. Zbl 0820.92030Lum Wan, J. A.; Chatwin, P. C.; Katan, L. L. 1 1995 High-frequency vibration and acoustic radiation of fluid-loaded plates. Zbl 0834.76081Graham, W. R. 1 1995 Three-dimensional mode growth in boundary layers with tuned and detuned subharmonic resonance. Zbl 0850.76004Corke, T. C. 1 1995 Controlling chaos in electronic circuits. Zbl 0864.94037Ogorzałek, Maciej J. 1 1995 On the oblique reflexion and transmission of ocean waves at shore fast sea ice. Zbl 0816.73009Fox, Colin; Squire, Vernon A. 76 1994 On Boltzmann and Landau equations. Zbl 0809.35137Lions, P. L. 54 1994 Forced quasiperiodic oscillations of linear parametrically excited systems. (Chattering and related behaviour in impact oscillators.) Zbl 0816.70018Budd, Chris; Dux, Felix 48 1994 Tension of organizing filaments of scroll waves. Zbl 0862.92002Biktashev, V. N.; Holden, A. V.; Zhang, H. 32 1994 Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system. Zbl 0867.35047Petrov, Valery; Scott, Stephen K.; Showalter, Kenneth 26 1994 Equilibria, stability and excitability in a general class of plankton population models. Zbl 0857.92017Truscott, J. E.; Brindley, J. 22 1994 Analytical determination of bifurcations in an impact oscillator. Zbl 0813.70012Foale, Stephen 20 1994 Impact oscillators. Zbl 0800.70069Bishop, S. R. 14 1994 Chaos and nonlinear forecastability in economics and finance. Zbl 0863.90032LeBaron, Blake 13 1994 Nonlinear forecasting for the classification of natural time series. Zbl 0864.92001Sugihara, George 13 1994 Simple examples with features of renormalization for turbulent transport. Zbl 0797.76036Avellaneda, Marco; Majda, Andrew J. 12 1994 A note on super-replicating strategies. Zbl 0822.90020Davis, M. H. A.; Clark, J. M. C. 11 1994 Multi-factor term structure models. Zbl 0822.90015Duffie, Darrell; Kan, Rui 10 1994 Local optimal prediction: Exploiting strangeness and the variation of sensitivity to initial condition. Zbl 0859.62085Smith, Leonard A. 10 1994 Measles as a case study in nonlinear forecasting and chaos. Zbl 0858.92029Grenfell, B. T.; Kleczkowski, A.; Ellner, S. P.; Bolker, B. M. 10 1994 Path-dependent options and transaction costs. Zbl 0822.90021Dewynne, J. N.; Whalley, A. E.; Wilmott, P. 8 1994 Foundations of non-equilibrium statistical mechanics. Zbl 0803.60096Dougherty, J. P. 8 1994 On a free boundary problem that arises in portfolio management. Zbl 0822.90011Pliska, Stanley R.; Selby, Michael J. P. 7 1994 Interest rate volatility and the shape of the term structure. Zbl 0822.90014Brown, Roger H.; Schaefer, Stephen M. 7 1994 A theory of correlation dimension for stationary time series. Zbl 0859.62078Cutler, Colleen D. 7 1994 Attractors for the modifications of the three-dimensional Navier-Stokes equations. Zbl 0807.35109Ladyzhenskaya, O. A. 7 1994 Stock price fluctuation as a diffusion in a random environment. Zbl 0822.90022Föllmer, Hans 6 1994 The general mean-variance portfolio selection problem. Zbl 0822.90010Markowitz, Harry M. 5 1994 On prediction and chaos in stochastic systems. Zbl 0859.62086Yao, Qiwei; Tong, Howell 5 1994 Independence in time series: Another look at the BDS test. Zbl 0859.62081Wolff, Rodney C. L. 5 1994 Orthogonal projection, embedding dimension and sample size in chaotic time series from a statistical perspective. Zbl 0859.62077Cheng, B.; Tong, H. 4 1994 Singular vectors and the predictability of weather and climate. Zbl 0865.76066Palmer, T. N.; Buizza, R.; Molteni, F.; Chen, Y.-Q.; Corti, S. 4 1994 A two-dimensional model for the dynamics of sea ice. Zbl 0813.73049Gray, J. M. N. T.; Morland, L. W. 4 1994 Multistability, oscillations and travelling waves in a product-feedback autocatalator model. II: The initiation and propagation of travelling waves. Zbl 0821.92026Collier, S. M.; Merkin, J. H.; Scott, S. K. 3 1994 Measuring and characterizing spatial patterns, dynamics and chaos in spatially extended dynamical systems and ecologies. Zbl 0868.35055Rand, D. A. 3 1994 On the existence of slow manifolds for problems with different timescales. Zbl 0831.35130Kreiss, Heinz-Otto; Lorenz, Jens 3 1994 Crack problems in a poroelastic medium: An asymptotic approach. Zbl 0810.73047Craster, R. V.; Atkinson, C. 3 1994 Properties of cross-well chaos in an impacting system. Zbl 0815.70015Shaw, Steven W.; Haddow, Alan G.; Hsieh, Shang-Rou 3 1994 The generalized Boltzmann equation, generalized hydrodynamic equations and their applications. Zbl 0820.76073Alexeev, Boris V. 2 1994 Paradigm change in prediction. Zbl 0860.62070Weigend, Andreas S. 2 1994 Fractals in earthquakes. Zbl 0860.73051Matsuzaki, Mitsuhiro 2 1994 New developments in the ergodic theory of nonlinear dynamical systems. Zbl 0798.58045Benedicks, Michael 2 1994 Rigid block dynamics confined between side-walls. Zbl 0801.70004Hogan, S. J. 2 1994 The effect of undulations on the electrostatic potential in a polyelectrolyte system. Zbl 0811.92026Miklavic, S. J. 2 1994 The effects of variable diffusivity on the development of travelling waves in a class of reaction-diffusion equations. Zbl 0815.35043King, A. C.; Needham, D. J. 2 1994 Stochastic equity volatility and the capital structure of the firm. Zbl 0822.90012Bensoussan, A.; Crouhy, M.; Galai, D. 1 1994 Chaos in geophysical fluids. I: General introduction. Zbl 0864.76002Hide, Raymond 1 1994 Threshold bifurcation in tissue interaction models for spatial pattern generation. Zbl 0857.92004Murray, J. D.; Cruywagen, Gerhard C. 1 1994 Simple and complex spiral wave dynamics. Zbl 0862.92022Müller, Stefan C.; Zykov, Vladimir S. 1 1994 Dynamics of scroll waves in inhomogeneous excitable media. Zbl 0862.92014Pertsov, Arkady; Vinson, Michael 1 1994 Nonlinear phenomena in excitable media. Zbl 0857.00021 1 1994 A dynamical theory of structured solids. I: Basic developments. 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D. 4 1993 On the baroclinic dynamics, Hamiltonian formulation and general stability characteristics of density-driven surface currents and fronts over a sloping continental shelf. Zbl 0812.76032Swaters, Gordon E. 4 1993 A review of the central role of nonlinear interactions in wind-wave evolution. Zbl 0768.76008Young, I. R.; Van Vledder, G. Ph. 3 1993 Hypothetical graphite structures with negative Gaussian curvature. Zbl 0778.53006Mackay, A. L.; Terrones, H. 2 1993 ...and 90 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,197 Authors 21 Zumbrun, Kevin R. 17 Dolzmann, Georg 16 Sahoo, Trilochan 15 Conti, Sergio 14 Bona, Jerry Lloyd 13 Luo, Albert C. J. 13 Merkin, John H. 12 Zhang, Kewei 11 Biktashev, Vadim N. 11 Dougalis, Vassilios A. 11 Meylan, Michael H. 11 Steigmann, David J. 10 Holden, Arun V. 10 Luskin, Mitchell 10 Piiroinen, Petri T. 10 Toro, Eleuterio Francisco 9 Hall, Philip 9 Humpherys, Jeffrey 9 Vazquez, Juan Luis 9 Zhang, Weiguo 8 Carstensen, Carsten 8 DeSimone, Antonio 8 Il’ichev, Andreĭ Teĭmurazovich 8 Mitsotakis, Dimitrios E. 7 Biferale, Luca 7 Danca, Marius-Florin 7 Della Porta, Francesco 7 dell’Isola, Francesco 7 James, Richard D. 7 Lafortune, Stéphane 7 Müller, Stefan 7 Roubíček, Tomáš 7 Wu, Xuesong 6 Bělík, Pavel 6 Bhattacharya, Kaushik 6 Brindley, John 6 Chen, Guanrong 6 Denier, James P. 6 di Bernardo, Mario 6 Ericksen, Jerald Laverne 6 Fečkan, Michal 6 Galvanetto, Ugo 6 Ghazaryan, Anna R. 6 Giorgio, Ivan 6 Hackl, Klaus 6 Johnson, Mathew A. 6 Karakashian, Ohannes A. 6 Li, Zhiping 6 Majda, Andrew J. 6 Mandal, Birendra Nath 6 Mikelić, Andro 6 Nordmark, Arne B. 6 Panfilov, Alexander V. 6 Pascucci, Andrea 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 Xu, Wei 6 Yu, Hongjun 5 Alexandre, Radjesvarane 5 Barker, Blake 5 Bennetts, Luke G. 5 Bhattacharjee, Joydip 5 Bishop, Steven R. 5 Bora, Swaroop Nandan 5 Budd, Christopher John 5 Cermelli, Paolo 5 Cui, Lirong 5 Desroches, Mathieu 5 Duan, Renjun 5 Govindjee, Sanjay 5 Grebogi, Celso 5 Howard, Peter 5 Kapitaniak, Tomasz 5 Kohn, Robert Vita 5 Latushkin, Yuri 5 Martel, Yvan 5 Ottino, Julio M. 5 Peigney, Michaël 5 Pelinovsky, Dmitry Efimovich 5 Sevostianov, Igor 5 Smith, Leonard A. 5 Thompson, John Michael T. 5 Toschi, Federico 5 Tzvetkov, Nikolay 5 Wei, Juncheng 5 Wen, Guilin 4 Ashwin, Peter 4 Avrutin, Viktor 4 Awrejcewicz, Jan 4 Banerjee, Soumitro 4 Barbulescu, Razvan 4 Blazejczyk-Okolewska, Barbara 4 Bowles, Robert I. ...and 3,097 more Authors all top 5 Cited in 384 Journals 132 Journal of Fluid Mechanics 111 Physica D 95 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 77 Physics of Fluids 62 Chaos, Solitons and Fractals 61 Journal of the Mechanics and Physics of Solids 44 Archive for Rational Mechanics and Analysis 39 Computer Methods in Applied Mechanics and Engineering 38 Journal of Differential Equations 37 Chaos 29 Journal of Computational Physics 28 Journal of Engineering Mathematics 28 Nonlinear Dynamics 26 International Journal of Engineering Science 23 Communications in Nonlinear Science and Numerical Simulation 22 Wave Motion 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Communications in Mathematical Physics 21 European Journal of Mechanics. B. Fluids 20 Journal of Mathematical Analysis and Applications 18 Mathematics and Mechanics of Solids 17 Mathematics of Computation 17 Continuum Mechanics and Thermodynamics 16 Nonlinear Analysis. Real World Applications 15 Computers and Fluids 15 Meccanica 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 15 Applied Mathematical Modelling 13 Journal of Mathematical Physics 13 Journal of Statistical Physics 13 Applied Mathematics and Computation 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 12 Mathematics and Computers in Simulation 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 Calculus of Variations and Partial Differential Equations 10 Journal of High Energy Physics 10 Dynamical Systems 10 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 9 Theoretical and Computational Fluid Dynamics 9 Journal of Computational and Applied Mathematics 9 Journal of Functional Analysis 9 Combustion Theory and Modelling 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 Quantitative Finance 8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 7 Applied Mathematics Letters 7 Japan Journal of Industrial and Applied Mathematics 7 The Annals of Applied Probability 7 Communications in Partial Differential Equations 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Discrete and Continuous Dynamical Systems. Series B 6 Classical and Quantum Gravity 6 Communications on Pure and Applied Mathematics 6 General Relativity and Gravitation 6 Mathematical Biosciences 6 Mathematical Methods in the Applied Sciences 6 Nonlinearity 6 Physica A 6 Physics of Fluids, A 6 Bulletin of Mathematical Biology 6 Shock Waves 6 Journal of the American Mathematical Society 6 Communications in Statistics. Theory and Methods 6 SIAM Journal on Applied Mathematics 6 Mathematical Problems in Engineering 6 Journal of Hyperbolic Differential Equations 6 Acta Mechanica Sinica 6 Journal of Theoretical Biology 5 Journal of Mathematical Biology 5 Automatica 5 Applied Mathematics and Mechanics. (English Edition) 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Scientific Computing 5 International Journal of Computer Mathematics 5 Journal of Statistical Computation and Simulation 5 Bulletin of the American Mathematical Society. New Series 5 Journal of Mathematical Chemistry 5 Mathematical Finance 5 Communications in Computational Physics 4 Fluid Dynamics 4 Geophysical and Astrophysical Fluid Dynamics 4 Journal of the Franklin Institute 4 Theoretical and Mathematical Physics 4 Advances in Mathematics 4 International Journal of Circuit Theory and Applications 4 Journal of Number Theory ...and 284 more Journals all top 5 Cited in 51 Fields 655 Fluid mechanics (76-XX) 538 Partial differential equations (35-XX) 415 Mechanics of deformable solids (74-XX) 318 Dynamical systems and ergodic theory (37-XX) 203 Ordinary differential equations (34-XX) 182 Numerical analysis (65-XX) 180 Biology and other natural sciences (92-XX) 145 Mechanics of particles and systems (70-XX) 110 Statistical mechanics, structure of matter (82-XX) 83 Statistics (62-XX) 76 Calculus of variations and optimal control; optimization (49-XX) 76 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 74 Probability theory and stochastic processes (60-XX) 71 Geophysics (86-XX) 63 Classical thermodynamics, heat transfer (80-XX) 62 Number theory (11-XX) 58 Information and communication theory, circuits (94-XX) 55 Systems theory; control (93-XX) 44 Relativity and gravitational theory (83-XX) 37 Differential geometry (53-XX) 28 Computer science (68-XX) 22 Operator theory (47-XX) 21 Operations research, mathematical programming (90-XX) 18 Optics, electromagnetic theory (78-XX) 18 Quantum theory (81-XX) 15 Integral equations (45-XX) 11 Measure and integration (28-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Real functions (26-XX) 8 Algebraic geometry (14-XX) 7 Functional analysis (46-XX) 6 History and biography (01-XX) 6 Topological groups, Lie groups (22-XX) 6 Functions of a complex variable (30-XX) 6 Approximations and expansions (41-XX) 5 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 General topology (54-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-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 Algebraic topology (55-XX) Citations by Year