## Chicone, Carmen C.

Compute Distance To:
 Author ID: chicone.carmen-c Published as: Chicone, Carmen; Chicone, C.; Chicone, Carmen C.; Chicone, C. C. more...less
 Documents Indexed: 101 Publications since 1979, including 5 Books Reviewing Activity: 112 Reviews Co-Authors: 41 Co-Authors with 78 Joint Publications 641 Co-Co-Authors
all top 5

### Co-Authors

 18 single-authored 27 Mashhoon, Bahram 16 Retzloff, David G. 7 Swanson, Richard C. 5 Latushkin, Yuri 4 Ehrlich, Paul Ewing 3 Bihun, Oksana 3 Chan, P. C.-H. 3 Jacobs, Marc Q. 2 Benson, James D. 2 Critser, John K. 2 Dumortier, Freddy 2 Felts, Kenny 2 Gerlach, Jürgen 2 Heitzman, Michael T. 2 Kalton, Nigel John 2 Liu, Weishi 2 Montgomery-Smith, Stephen J. 2 Papick, Ira J. 2 Shafer, Douglas S. 1 Ahlbrandt, Calvin D. 1 Ashbaugh, Mark S. 1 Beem, John K. 1 Bilir, Bülent 1 Bini, Donato 1 Cherubini, Christian 1 Clark, Stephen L. 1 Cushman, Richard H. 1 Forker, E. L. 1 Harris, Steven G. 1 Hsu, Guan-Hsong 1 King, P. D. 1 Kopeikin, Sergei M. 1 Lombardo, Stephen J. 1 Mann, Brian P. 1 Patula, William T. 1 Punsly, Brian 1 Rhouma, Mohamed Ben Hadj 1 Rosquist, Kjell 1 Sotomayor, Jorge 1 Steiger, Donald 1 Tian, Jinghuang
all top 5

### Serials

 11 Journal of Differential Equations 10 Classical and Quantum Gravity 6 Proceedings of the American Mathematical Society 5 Physics Letters. A 4 Journal of Mathematical Physics 4 SIAM Journal on Mathematical Analysis 4 Annalen der Physik. 8th Series 3 Journal of Mathematical Analysis and Applications 3 Transactions of the American Mathematical Society 2 American Mathematical Monthly 2 Journal of Mathematical Biology 2 Rocky Mountain Journal of Mathematics 2 Manuscripta Mathematica 2 Physica D 2 Journal of Dynamics and Differential Equations 2 Texts in Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Astronomy and Astrophysics 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Helvetica Physica Acta 1 Israel Journal of Mathematics 1 Journal of Applied Mechanics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Publicacions Matemàtiques 1 Differential and Integral Equations 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 The Canadian Applied Mathematics Quarterly 1 Electronic Journal of Differential Equations (EJDE) 1 Methods and Applications of Analysis 1 Opuscula Mathematica 1 Communications on Applied Nonlinear Analysis 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Differential Equations and Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Electronic Journal of Differential Equations. Monograph 1 Mathematical Surveys and Monographs
all top 5

### Fields

 44 Ordinary differential equations (34-XX) 34 Dynamical systems and ergodic theory (37-XX) 20 Relativity and gravitational theory (83-XX) 13 Differential geometry (53-XX) 13 Mechanics of particles and systems (70-XX) 7 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 6 Fluid mechanics (76-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Astronomy and astrophysics (85-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

85 Publications have been cited 1,321 times in 1,084 Documents Cited by Year
Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027
Chicone, Carmen; Latushkin, Yuri
1999
Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001
Chicone, Carmen
2006
Bifurcation of critical periods for plane vector fields. Zbl 0678.58027
Chicone, Carmen; Jacobs, Marc
1989
Ordinary differential equations with applications. Zbl 0937.34001
Chicone, Carmen
1999
Bifurcation of limit cycles from quadratic isochrones. Zbl 0733.34045
Chicone, Carmen; Jacobs, Marc
1991
Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033
Chicone, C.; Latushkin, Y.
1997
On general properties of quadratic systems. Zbl 0466.34011
Chicone, Carmen; Tian, Jinghuang
1982
Finiteness for critical periods of planar analytic vector fields. Zbl 0773.34032
Chicone, Carmen; Dumortier, Freddy
1993
Inertial and slow manifolds for delay equations with small delays. Zbl 1044.34026
Chicone, Carmen
2003
Bifurcations of nonlinear oscillations and frequency entrainment near resonance. Zbl 0765.58018
Chicone, Carmen
1992
Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators. Zbl 0807.34052
Chicone, Carmen
1994
Geometric methods for two-point nonlinear boundary value problems. Zbl 0693.34014
Chicone, Carmen
1988
A quadratic system with a nonmonotonic period function. Zbl 0651.34043
Chicone, Carmen; Dumortier, Freddy
1988
Spectral theory for linearizations of dynamical systems. Zbl 0432.58016
Chicone, Carmen; Swanson, R. C.
1981
Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds. Zbl 0436.53043
Chicone, Carmen; Ehrlich, Paul
1980
Separatrix and limit cycles of quadratic systems and Dulac’s theorem. Zbl 0522.58041
Chicone, Carmen; Shafer, Douglas S.
1983
Chicone, Carmen C.
1979
Delay equations and radiation damping. Zbl 0969.78506
Chicone, C.; Kopeikin, S. M.; Mashhoon, B.; Retzloff, D. G.
2001
Relativistic motion of spinning particles in a gravitational field. Zbl 1181.83148
Chicone, C.; Mashhoon, B.; Punsly, B.
2005
The generalized Jacobi equation. Zbl 1118.83315
Chicone, C.; Mashhoon, B.
2002
Inertial flows, slow flows, and combinatorial identities for delay equations. Zbl 1073.34087
Chicone, Carmen
2004
Flat embeddings of the Möbius strip in $$\mathbb{R}^3$$. Zbl 1035.53006
Chicone, Carmen; Kalton, N. J.
2002
A geometric approach to regular perturbation theory with an application to hydrodynamics. Zbl 0849.58055
Chicone, Carmen
1995
Tidal dynamics in Kerr spacetime. Zbl 1096.83040
Chicone, C.; Mashhoon, B.
2006
On the continuation of periodic orbits. Zbl 1017.34047
Rhouma, M. B. H.; Chicone, C.
2000
A general model for the dynamics of cell volume, global stability, and optimal control. Zbl 1230.92014
Benson, James D.; Chicone, Carmen C.; Critser, John K.
2011
Gravitational induction. Zbl 1152.83346
Bini, Donato; Cherubini, Christian; Chicone, Carmen; Mashhoon, Bahram
2008
A note on the identifiability of distributed parameters in elliptic equations. Zbl 0644.35092
Chicone, Carmen; Gerlach, Jürgen
1987
Approximate first integrals for discrete Hamiltonian systems. Zbl 0894.65036
Ahlbrandt, Calvin D.; Chicone, Carmen; Clark, Stephen L.; Patula, William T.; Steiger, Donald
1996
Limit cycles of a class of polynomial vector fields in the plane. Zbl 0651.34020
Chicone, Carmen
1986
Linearization via the Lie derivative. Zbl 0961.34026
Chicone, Carmen; Swanson, Richard
2000
What are the equations of motion of classical physics? Zbl 1058.34108
Chicone, Carmen
2002
On a class of complete polynomial vector fields in the plane. Zbl 0589.58020
Chicone, C.; Sotomayor, J.
1986
A generalization of the inertia theorem for quadratic matrix polynomials. Zbl 0934.15020
Bilir, Bülent; Chicone, Carmen
1998
The spectrum of the adjoint representation and the hyperbolicity of dynamical systems. Zbl 0443.58019
Chicone, Carmen; Swanson, R. C.
1980
The twisting tennis racket. Zbl 0713.70005
Ashbaugh, Mark S.; Chicone, Carmen C.; Cushman, Richard H.
1991
Asymptotic phase revisited. Zbl 1064.34027
Chicone, Carmen; Liu, Weishi
2004
Gravitomagnetic accelerators. Zbl 1242.83014
Chicone, C.; Mashhoon, B.
2011
Periodic solutions of a system of coupled oscillators near resonance. Zbl 0839.34049
Chicone, Carmen
1995
Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates. Zbl 1060.83504
Chicone, C.; Mashhoon, B.
2005
Nonlocal gravity: Modified Poisson’s equation. Zbl 1279.83029
Chicone, C.; Mashhoon, B.
2012
The topology of stationary curl parallel solutions of Euler’s equations. Zbl 0475.58017
Chicone, Carmen
1981
Tidal dynamics of relativistic flows near black holes. Zbl 1069.83502
Chicone, C.; Mashhoon, B.
2005
Gradient-like and integrable vector fields on $${\mathbb{R}}^ 2$$. Zbl 0564.58016
Chicone, Carmen; Ehrlich, Paul
1984
The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091
Chicone, C.; Latushkin, Y.; Montgomery-Smith, S.
1995
Acceleration-induced nonlocality: Kinetic memory versus dynamic memory. Zbl 1002.83010
Chicone, C.; Mashhoon, B.
2002
Acceleration-induced nonlocality: uniqueness of the kernel. Zbl 0995.81006
Chicone, C.; Mashhoon, B.
2002
Tidal acceleration of ultrarelativistic particles. Zbl 1091.83501
Chicone, C.; Mashhoon, B.
2005
The geodesic flow and sectional curvature of pseudo-Riemannian manifolds. Zbl 0488.53015
Beem, J.; Chicone, C.; Ehrlich, P.
1982
Analytical optimal controls for the state constrained addition and removal of cryoprotective agents. Zbl 1312.92016
Benson, James D.; Chicone, Carmen C.; Critser, John K.
2012
Chaotic behavior in the dynamical system of a continuous stirred tank reactor. Zbl 0623.58035
Retzloff, D. G.; Chan, P. C.-H.; Chicone, C.; Offin, D.; Mohamed, R.
1987
On the continuation of an invariant torus in a family with rapid oscillations. Zbl 0942.34035
Chicone, Carmen; Liu, Weishi
2000
Sustained resonance: A binary system perturbed by gravitational radiation. Zbl 0954.34040
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
2000
Tangent bundle connections and the geodesic flow. Zbl 0449.58016
Chicone, Carmen C.
1981
A generalized Poincaré stability criterion. Zbl 0472.58018
Chicone, Carmen; Swanson, R. C.
1981
On the ionization of a Keplerian binary system by periodic gravitational radiation. Zbl 0869.70009
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1996
Periodic orbits of coupled oscillators near resonance. Zbl 0898.34035
Chicone, Carmen
1997
Nonlocal Lagrangians for accelerated systems. Zbl 1206.83027
Chicone, C.; Mashhoon, B.
2007
Multiple solutions of a nonlinear boundary value problem with application to chemical reactor dynamics. Zbl 0808.34024
Retzloff, David G.; Chicone, Carmen; Hsu, Guan-Hsong
1994
On bifurcation of limit cycles from centers. Zbl 0731.34020
Chicone, Carmen
1990
Nonlocal gravity in the solar system. Zbl 1338.83140
Chicone, C.; Mashhoon, B.
2016
Cosmic jets. Zbl 1242.83053
Chicone, C.; Mashhoon, B.; Rosquist, K.
2011
Non-monotone period functions for impact oscillators. Zbl 1173.34031
Chicone, Carmen; Felts, Kenny
2008
Synchronization phenomena for coupled delay-line oscillators. Zbl 1071.34081
Chicone, Carmen; Feng, Z. C.
2004
Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056
Chicone, C.; Latushkin, Y.
1995
Chaos in the Kepler system. Zbl 0948.70010
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1999
Equivalence and slice theory for symplectic forms on closed manifolds. Zbl 0402.58001
Swanson, R. C.; Chicone, C. C.
1979
Anosov does not imply infinitesimally ergodic. Zbl 0405.58034
Swanson, R. C.; Chicone, Carmen
1979
Gravitational ionization: A chaotic net in the Kepler system. Zbl 0874.70010
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1997
Evolutionary dynamics while trapped in resonance: A Keplerian binary system perturbed by gravitational radiation. Zbl 0884.70026
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1997
Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062
Chicone, C.; Latushkin, Y.; Retzloff, D. G.
1996
Gravitational ionization: Periodic orbits of binary systems perturbed by gravitational radiation. Zbl 0846.58076
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1996
Observation and investigation of a non-monotonic period function for an impact oscillator. Zbl 1221.70029
Chicone, Carmen; Felts, Kenny; Mann, Brian
2009
Distortion minimal morphing: the theory for stretching. Zbl 1167.68055
Bihun, Oksana; Chicone, Carmen
2009
A parameter identification problem arising from a model of canalicular bile formation. Zbl 0782.92005
Chicone, C. C.; Cai, Z.-S.; King, P. D.; Forker, E. L.
1993
Hyperbolicity and dissipativity. Zbl 0812.34061
Chicone, C.; Latushkin, Y.
1994
Chaos in the Hill system. Zbl 0932.37020
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1999
Deformation minimal bending of compact manifolds: case of simple closed curves. Zbl 1152.58014
Bihun, Oksana; Chicone, Carmen
2008
Time-varying Lense-Thirring system. Zbl 1152.83332
Chicone, C.; Mashhoon, B.
2008
Significance of $$c/\sqrt 2$$ in relativistic physics. Zbl 1060.83503
Chicone, C.; Mashhoon, B.
2004
A gravitational mechanism for the acceleration of ultrarelativistic particles. Zbl 1161.70343
Chicone, C.; Mashhoon, B.
2005
A converse for the Cayley-Hamilton theorem. Zbl 0565.15005
Chicone, Carmen; Kalton, N. J.; Papick, Ira J.
1985
Phase-locked loops, demodulation, and averaging approximation time-scale extensions. Zbl 1286.34069
Chicone, Carmen; Heitzman, Michael T.
2013
Maximal muliplicity of the critical points of the CR equation modeling a constant flow stirred tank reactor. Zbl 0656.76089
Retzloff, D. G.; Chan, P. C.-H.; Mohamed, R.; Offin, D.; Chicone, C.
1987
Quadratic Morse-Smale vector fields which are not structurally stable. Zbl 0504.58026
Chicone, Carmen; Shafer, Douglas S.
1982
Nonlocal gravity in the solar system. Zbl 1338.83140
Chicone, C.; Mashhoon, B.
2016
Phase-locked loops, demodulation, and averaging approximation time-scale extensions. Zbl 1286.34069
Chicone, Carmen; Heitzman, Michael T.
2013
Nonlocal gravity: Modified Poisson’s equation. Zbl 1279.83029
Chicone, C.; Mashhoon, B.
2012
Analytical optimal controls for the state constrained addition and removal of cryoprotective agents. Zbl 1312.92016
Benson, James D.; Chicone, Carmen C.; Critser, John K.
2012
A general model for the dynamics of cell volume, global stability, and optimal control. Zbl 1230.92014
Benson, James D.; Chicone, Carmen C.; Critser, John K.
2011
Gravitomagnetic accelerators. Zbl 1242.83014
Chicone, C.; Mashhoon, B.
2011
Cosmic jets. Zbl 1242.83053
Chicone, C.; Mashhoon, B.; Rosquist, K.
2011
Observation and investigation of a non-monotonic period function for an impact oscillator. Zbl 1221.70029
Chicone, Carmen; Felts, Kenny; Mann, Brian
2009
Distortion minimal morphing: the theory for stretching. Zbl 1167.68055
Bihun, Oksana; Chicone, Carmen
2009
Gravitational induction. Zbl 1152.83346
Bini, Donato; Cherubini, Christian; Chicone, Carmen; Mashhoon, Bahram
2008
Non-monotone period functions for impact oscillators. Zbl 1173.34031
Chicone, Carmen; Felts, Kenny
2008
Deformation minimal bending of compact manifolds: case of simple closed curves. Zbl 1152.58014
Bihun, Oksana; Chicone, Carmen
2008
Time-varying Lense-Thirring system. Zbl 1152.83332
Chicone, C.; Mashhoon, B.
2008
Nonlocal Lagrangians for accelerated systems. Zbl 1206.83027
Chicone, C.; Mashhoon, B.
2007
Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001
Chicone, Carmen
2006
Tidal dynamics in Kerr spacetime. Zbl 1096.83040
Chicone, C.; Mashhoon, B.
2006
Relativistic motion of spinning particles in a gravitational field. Zbl 1181.83148
Chicone, C.; Mashhoon, B.; Punsly, B.
2005
Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates. Zbl 1060.83504
Chicone, C.; Mashhoon, B.
2005
Tidal dynamics of relativistic flows near black holes. Zbl 1069.83502
Chicone, C.; Mashhoon, B.
2005
Tidal acceleration of ultrarelativistic particles. Zbl 1091.83501
Chicone, C.; Mashhoon, B.
2005
A gravitational mechanism for the acceleration of ultrarelativistic particles. Zbl 1161.70343
Chicone, C.; Mashhoon, B.
2005
Inertial flows, slow flows, and combinatorial identities for delay equations. Zbl 1073.34087
Chicone, Carmen
2004
Asymptotic phase revisited. Zbl 1064.34027
Chicone, Carmen; Liu, Weishi
2004
Synchronization phenomena for coupled delay-line oscillators. Zbl 1071.34081
Chicone, Carmen; Feng, Z. C.
2004
Significance of $$c/\sqrt 2$$ in relativistic physics. Zbl 1060.83503
Chicone, C.; Mashhoon, B.
2004
Inertial and slow manifolds for delay equations with small delays. Zbl 1044.34026
Chicone, Carmen
2003
The generalized Jacobi equation. Zbl 1118.83315
Chicone, C.; Mashhoon, B.
2002
Flat embeddings of the Möbius strip in $$\mathbb{R}^3$$. Zbl 1035.53006
Chicone, Carmen; Kalton, N. J.
2002
What are the equations of motion of classical physics? Zbl 1058.34108
Chicone, Carmen
2002
Acceleration-induced nonlocality: Kinetic memory versus dynamic memory. Zbl 1002.83010
Chicone, C.; Mashhoon, B.
2002
Acceleration-induced nonlocality: uniqueness of the kernel. Zbl 0995.81006
Chicone, C.; Mashhoon, B.
2002
Delay equations and radiation damping. Zbl 0969.78506
Chicone, C.; Kopeikin, S. M.; Mashhoon, B.; Retzloff, D. G.
2001
On the continuation of periodic orbits. Zbl 1017.34047
Rhouma, M. B. H.; Chicone, C.
2000
Linearization via the Lie derivative. Zbl 0961.34026
Chicone, Carmen; Swanson, Richard
2000
On the continuation of an invariant torus in a family with rapid oscillations. Zbl 0942.34035
Chicone, Carmen; Liu, Weishi
2000
Sustained resonance: A binary system perturbed by gravitational radiation. Zbl 0954.34040
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
2000
Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027
Chicone, Carmen; Latushkin, Yuri
1999
Ordinary differential equations with applications. Zbl 0937.34001
Chicone, Carmen
1999
Chaos in the Kepler system. Zbl 0948.70010
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1999
Chaos in the Hill system. Zbl 0932.37020
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1999
A generalization of the inertia theorem for quadratic matrix polynomials. Zbl 0934.15020
Bilir, Bülent; Chicone, Carmen
1998
Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033
Chicone, C.; Latushkin, Y.
1997
Periodic orbits of coupled oscillators near resonance. Zbl 0898.34035
Chicone, Carmen
1997
Gravitational ionization: A chaotic net in the Kepler system. Zbl 0874.70010
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1997
Evolutionary dynamics while trapped in resonance: A Keplerian binary system perturbed by gravitational radiation. Zbl 0884.70026
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1997
Approximate first integrals for discrete Hamiltonian systems. Zbl 0894.65036
Ahlbrandt, Calvin D.; Chicone, Carmen; Clark, Stephen L.; Patula, William T.; Steiger, Donald
1996
On the ionization of a Keplerian binary system by periodic gravitational radiation. Zbl 0869.70009
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1996
Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062
Chicone, C.; Latushkin, Y.; Retzloff, D. G.
1996
Gravitational ionization: Periodic orbits of binary systems perturbed by gravitational radiation. Zbl 0846.58076
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1996
A geometric approach to regular perturbation theory with an application to hydrodynamics. Zbl 0849.58055
Chicone, Carmen
1995
Periodic solutions of a system of coupled oscillators near resonance. Zbl 0839.34049
Chicone, Carmen
1995
The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091
Chicone, C.; Latushkin, Y.; Montgomery-Smith, S.
1995
Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056
Chicone, C.; Latushkin, Y.
1995
Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators. Zbl 0807.34052
Chicone, Carmen
1994
Multiple solutions of a nonlinear boundary value problem with application to chemical reactor dynamics. Zbl 0808.34024
Retzloff, David G.; Chicone, Carmen; Hsu, Guan-Hsong
1994
Hyperbolicity and dissipativity. Zbl 0812.34061
Chicone, C.; Latushkin, Y.
1994
Finiteness for critical periods of planar analytic vector fields. Zbl 0773.34032
Chicone, Carmen; Dumortier, Freddy
1993
A parameter identification problem arising from a model of canalicular bile formation. Zbl 0782.92005
Chicone, C. C.; Cai, Z.-S.; King, P. D.; Forker, E. L.
1993
Bifurcations of nonlinear oscillations and frequency entrainment near resonance. Zbl 0765.58018
Chicone, Carmen
1992
Bifurcation of limit cycles from quadratic isochrones. Zbl 0733.34045
Chicone, Carmen; Jacobs, Marc
1991
The twisting tennis racket. Zbl 0713.70005
Ashbaugh, Mark S.; Chicone, Carmen C.; Cushman, Richard H.
1991
On bifurcation of limit cycles from centers. Zbl 0731.34020
Chicone, Carmen
1990
Bifurcation of critical periods for plane vector fields. Zbl 0678.58027
Chicone, Carmen; Jacobs, Marc
1989
Geometric methods for two-point nonlinear boundary value problems. Zbl 0693.34014
Chicone, Carmen
1988
A quadratic system with a nonmonotonic period function. Zbl 0651.34043
Chicone, Carmen; Dumortier, Freddy
1988
A note on the identifiability of distributed parameters in elliptic equations. Zbl 0644.35092
Chicone, Carmen; Gerlach, Jürgen
1987
Chaotic behavior in the dynamical system of a continuous stirred tank reactor. Zbl 0623.58035
Retzloff, D. G.; Chan, P. C.-H.; Chicone, C.; Offin, D.; Mohamed, R.
1987
Maximal muliplicity of the critical points of the CR equation modeling a constant flow stirred tank reactor. Zbl 0656.76089
Retzloff, D. G.; Chan, P. C.-H.; Mohamed, R.; Offin, D.; Chicone, C.
1987
Limit cycles of a class of polynomial vector fields in the plane. Zbl 0651.34020
Chicone, Carmen
1986
On a class of complete polynomial vector fields in the plane. Zbl 0589.58020
Chicone, C.; Sotomayor, J.
1986
A converse for the Cayley-Hamilton theorem. Zbl 0565.15005
Chicone, Carmen; Kalton, N. J.; Papick, Ira J.
1985
Gradient-like and integrable vector fields on $${\mathbb{R}}^ 2$$. Zbl 0564.58016
Chicone, Carmen; Ehrlich, Paul
1984
Separatrix and limit cycles of quadratic systems and Dulac’s theorem. Zbl 0522.58041
Chicone, Carmen; Shafer, Douglas S.
1983
On general properties of quadratic systems. Zbl 0466.34011
Chicone, Carmen; Tian, Jinghuang
1982
The geodesic flow and sectional curvature of pseudo-Riemannian manifolds. Zbl 0488.53015
Beem, J.; Chicone, C.; Ehrlich, P.
1982
Quadratic Morse-Smale vector fields which are not structurally stable. Zbl 0504.58026
Chicone, Carmen; Shafer, Douglas S.
1982
Spectral theory for linearizations of dynamical systems. Zbl 0432.58016
Chicone, Carmen; Swanson, R. C.
1981
The topology of stationary curl parallel solutions of Euler’s equations. Zbl 0475.58017
Chicone, Carmen
1981
Tangent bundle connections and the geodesic flow. Zbl 0449.58016
Chicone, Carmen C.
1981
A generalized Poincaré stability criterion. Zbl 0472.58018
Chicone, Carmen; Swanson, R. C.
1981
Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds. Zbl 0436.53043
Chicone, Carmen; Ehrlich, Paul
1980
The spectrum of the adjoint representation and the hyperbolicity of dynamical systems. Zbl 0443.58019
Chicone, Carmen; Swanson, R. C.
1980
Chicone, Carmen C.
1979
Equivalence and slice theory for symplectic forms on closed manifolds. Zbl 0402.58001
Swanson, R. C.; Chicone, C. C.
1979
Anosov does not imply infinitesimally ergodic. Zbl 0405.58034
Swanson, R. C.; Chicone, Carmen
1979
all top 5

### Cited by 1,274 Authors

 45 Llibre, Jaume 41 Valls Anglés, Cláudia 35 Barreira, Luis Manuel 29 Gasull, Armengol 27 Chicone, Carmen C. 26 Zhang, Weinian 23 Dragičević, Davor 22 Villadelprat, Jordi 19 Giné, Jaume 19 Romanovskiĭ, Valeriĭ Georgievich 15 Torregrosa, Joan 14 Latushkin, Yuri 14 Preda, Ciprian 13 González-Olivares, Eduardo 12 Han, Maoan 12 Rojas-Palma, Alejandro 12 Sasu, Bogdan 11 Chen, Xingwu 11 Mashhoon, Bahram 11 Sasu, Adina Luminiţa 11 Zhao, Yulin 10 Baskakov, Anatoliĭ Grigor’evich 10 Fečkan, Michal 10 Peng, Linping 9 García, Isaac A. 9 Liu, Changjian 9 Mañosas, Francesc 9 Sabatini, Marco 8 Cima, Anna 8 de la Llave, Rafael 8 Guillamon, Antoni 8 Huang, Wentao 8 Nguyen Van Minh 8 Preda, Petre 8 Schnaubelt, Roland 8 Shafer, Douglas S. 7 Buică, Adriana 7 Flores, José D. 7 Gazzola, Filippo 7 Makarenkov, Oleg Yuryĭovych 7 Marín Pérez, David 6 Arancibia-Ibarra, Claudio 6 Buşe, Constantin 6 Du, Zhengdong 6 Feng, Zhaosheng 6 Gil’, Michael Iosif 6 O’Regan, Donal 6 Perko, Lawrence M. 6 Prohens, Rafel 6 Swanson, Richard C. 6 Tomilov, Yuri 6 Wang, Zhaoxia 6 Zada, Akbar 5 Benson, James D. 5 Cafaro, Carlo 5 Dumortier, Freddy 5 Françoise, Jean-Pierre 5 Giesl, Peter 5 Li, Chengzhi 5 Li, Yurong 5 Liang, Haihua 5 Lorenzi, Luca 5 Mañosa, Víctor 5 Mello, Luis Fernando O. 5 Popescu, Liviu Horia 5 Pospíšil, Michal 5 Retzloff, David G. 5 Saavedra, Mariana 5 Siegmund, Stefan 5 Szczygielski, Krzysztof 5 Zhang, Xiang 4 Afsharnezhad, Zahra 4 Algaba, Antonio 4 Berchio, Elvise 4 Buzzi, Claudio Aguinaldo 4 Chavarriga, Javier 4 Coll, Bartomeu 4 de Carvalho Braga, Denis 4 Freire Macías, Emilio 4 Gesztesy, Fritz 4 Geyer, Anna 4 Giacomini, Hector J. 4 Gouveia, Luiz F. S. 4 Hadd, Said 4 Hu, Zhanrong 4 Iorio, Lorenzo 4 Jarque, Xavier 4 Jin, Zhen 4 Lessard, Jean-Philippe 4 Li, Jibin 4 Li, Na 4 Liu, Weishi 4 Lupa, Nicolae 4 Mardešić, Pavao 4 Maza, Susanna 4 Megan, Mihail 4 Mereu, Ana Cristina 4 Nguyen Thieu Huy 4 Novaes, Douglas Duarte 4 Ruggiero, Matteo Luca ...and 1,174 more Authors
all top 5

### Cited in 262 Serials

 138 Journal of Differential Equations 65 Journal of Mathematical Analysis and Applications 36 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Qualitative Theory of Dynamical Systems 28 Journal of Dynamics and Differential Equations 22 Proceedings of the American Mathematical Society 18 Physica D 15 General Relativity and Gravitation 14 Applied Mathematics and Computation 14 Transactions of the American Mathematical Society 14 Bulletin des Sciences Mathématiques 14 Nonlinear Dynamics 13 Chaos, Solitons and Fractals 12 Journal of Mathematical Biology 11 Journal of Mathematical Physics 11 Discrete and Continuous Dynamical Systems. Series B 10 Discrete and Continuous Dynamical Systems 10 SIAM Journal on Applied Dynamical Systems 9 Linear Algebra and its Applications 9 Nonlinear Analysis. Real World Applications 9 Advances in Difference Equations 8 Classical and Quantum Gravity 8 Integral Equations and Operator Theory 8 International Journal of Modern Physics D 8 Abstract and Applied Analysis 8 Mediterranean Journal of Mathematics 7 Communications in Mathematical Physics 7 Journal of Functional Analysis 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Journal of Difference Equations and Applications 7 Communications in Nonlinear Science and Numerical Simulation 7 Mathematical Biosciences and Engineering 6 Applicable Analysis 6 Mathematical Biosciences 6 Nonlinearity 6 Bulletin of Mathematical Biology 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Computational and Applied Mathematics 6 Semigroup Forum 6 Acta Mathematicae Applicatae Sinica. English Series 6 Applied Mathematical Modelling 6 Differential Equations 6 Communications on Pure and Applied Analysis 5 Archive for Rational Mechanics and Analysis 5 Computers & Mathematics with Applications 5 Rocky Mountain Journal of Mathematics 5 Archiv der Mathematik 5 Automatica 5 Monatshefte für Mathematik 5 Celestial Mechanics and Dynamical Astronomy 5 Mathematical Problems in Engineering 5 Chaos 5 Discrete Dynamics in Nature and Society 5 Journal of Evolution Equations 5 Dynamical Systems 5 Nonlinear Analysis. Theory, Methods & Applications 4 Mathematical Notes 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Reviews in Mathematical Physics 4 Journal of Geometry and Physics 4 Mathematische Zeitschrift 4 Results in Mathematics 4 Journal of Symbolic Computation 4 Applications of Mathematics 4 Journal of Nonlinear Science 4 International Journal of Geometric Methods in Modern Physics 4 Annalen der Physik 3 Astrophysics and Space Science 3 International Journal of Mathematical Education in Science and Technology 3 Mathematical Methods in the Applied Sciences 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Physics Letters. A 3 Advances in Mathematics 3 Mathematische Annalen 3 Mathematics and Computers in Simulation 3 Numerische Mathematik 3 Systems & Control Letters 3 Mathematical and Computer Modelling 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Mathematical Sciences (New York) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Regular and Chaotic Dynamics 3 Acta Mathematica Sinica. English Series 3 Journal of Dynamical and Control Systems 3 Communications in Contemporary Mathematics 3 Living Reviews in Relativity 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 International Journal of Theoretical Physics 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 Physica A 2 Functional Analysis and its Applications 2 Geometriae Dedicata 2 International Journal of Circuit Theory and Applications 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 SIAM Journal on Numerical Analysis ...and 162 more Serials
all top 5

### Cited in 51 Fields

 638 Ordinary differential equations (34-XX) 319 Dynamical systems and ergodic theory (37-XX) 157 Partial differential equations (35-XX) 138 Operator theory (47-XX) 97 Biology and other natural sciences (92-XX) 64 Relativity and gravitational theory (83-XX) 56 Mechanics of particles and systems (70-XX) 54 Systems theory; control (93-XX) 47 Differential geometry (53-XX) 45 Difference and functional equations (39-XX) 43 Numerical analysis (65-XX) 37 Fluid mechanics (76-XX) 25 Quantum theory (81-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Functional analysis (46-XX) 18 Mechanics of deformable solids (74-XX) 16 Probability theory and stochastic processes (60-XX) 14 Astronomy and astrophysics (85-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Optics, electromagnetic theory (78-XX) 10 Manifolds and cell complexes (57-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Integral equations (45-XX) 9 Statistics (62-XX) 9 Computer science (68-XX) 7 Algebraic geometry (14-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Abstract harmonic analysis (43-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 4 Geophysics (86-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX)