Edit Profile (opens in new tab) Chicone, Carmen C. Compute Distance To: Compute 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 643 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 1,302 times in 1,106 Documents Cited by ▼ Year ▼ Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027Chicone, Carmen; Latushkin, Yuri 262 1999 Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001Chicone, Carmen 216 2006 Bifurcation of critical periods for plane vector fields. Zbl 0678.58027Chicone, Carmen; Jacobs, Marc 125 1989 Ordinary differential equations with applications. Zbl 0937.34001Chicone, Carmen 113 1999 Bifurcation of limit cycles from quadratic isochrones. Zbl 0733.34045Chicone, Carmen; Jacobs, Marc 85 1991 Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033Chicone, C.; Latushkin, Y. 47 1997 On general properties of quadratic systems. Zbl 0466.34011Chicone, Carmen; Tian, Jinghuang 34 1982 Finiteness for critical periods of planar analytic vector fields. Zbl 0773.34032Chicone, Carmen; Dumortier, Freddy 30 1993 Inertial and slow manifolds for delay equations with small delays. Zbl 1044.34026Chicone, Carmen 27 2003 Bifurcations of nonlinear oscillations and frequency entrainment near resonance. Zbl 0765.58018Chicone, Carmen 26 1992 Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators. Zbl 0807.34052Chicone, Carmen 22 1994 Geometric methods for two-point nonlinear boundary value problems. Zbl 0693.34014Chicone, Carmen 22 1988 A quadratic system with a nonmonotonic period function. Zbl 0651.34043Chicone, Carmen; Dumortier, Freddy 16 1988 Spectral theory for linearizations of dynamical systems. Zbl 0432.58016Chicone, Carmen; Swanson, R. C. 14 1981 Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds. Zbl 0436.53043Chicone, Carmen; Ehrlich, Paul 14 1980 Separatrix and limit cycles of quadratic systems and Dulac’s theorem. Zbl 0522.58041Chicone, Carmen; Shafer, Douglas S. 14 1983 Quadratic gradients on the plane are generically Morse-Smale. Zbl 0378.34041Chicone, Carmen C. 13 1979 Relativistic motion of spinning particles in a gravitational field. Zbl 1181.83148Chicone, C.; Mashhoon, B.; Punsly, B. 12 2005 Delay equations and radiation damping. Zbl 0969.78506Chicone, C.; Kopeikin, S. M.; Mashhoon, B.; Retzloff, D. G. 12 2001 A general model for the dynamics of cell volume, global stability, and optimal control. Zbl 1230.92014Benson, James D.; Chicone, Carmen C.; Critser, John K. 11 2011 The generalized Jacobi equation. Zbl 1118.83315Chicone, C.; Mashhoon, B. 11 2002 Flat embeddings of the Möbius strip in \(\mathbb{R}^3\). Zbl 1035.53006Chicone, Carmen; Kalton, N. J. 11 2002 Inertial flows, slow flows, and combinatorial identities for delay equations. Zbl 1073.34087Chicone, Carmen 11 2004 On the continuation of periodic orbits. Zbl 1017.34047Rhouma, M. B. H.; Chicone, C. 10 2000 A geometric approach to regular perturbation theory with an application to hydrodynamics. Zbl 0849.58055Chicone, Carmen 9 1995 Gravitomagnetic accelerators. Zbl 1242.83014Chicone, C.; Mashhoon, B. 9 2011 Tidal dynamics in Kerr spacetime. Zbl 1096.83040Chicone, C.; Mashhoon, B. 9 2006 Gravitational induction. Zbl 1152.83346Bini, Donato; Cherubini, Christian; Chicone, Carmen; Mashhoon, Bahram 8 2008 A note on the identifiability of distributed parameters in elliptic equations. Zbl 0644.35092Chicone, Carmen; Gerlach, Jürgen 8 1987 Limit cycles of a class of polynomial vector fields in the plane. Zbl 0651.34020Chicone, Carmen 7 1986 Approximate first integrals for discrete Hamiltonian systems. Zbl 0894.65036Ahlbrandt, Calvin D.; Chicone, Carmen; Clark, Stephen L.; Patula, William T.; Steiger, Donald 7 1996 On a class of complete polynomial vector fields in the plane. Zbl 0589.58020Chicone, C.; Sotomayor, J. 7 1986 The spectrum of the adjoint representation and the hyperbolicity of dynamical systems. Zbl 0443.58019Chicone, Carmen; Swanson, R. C. 6 1980 Linearization via the Lie derivative. Zbl 0961.34026Chicone, Carmen; Swanson, Richard 6 2000 A generalization of the inertia theorem for quadratic matrix polynomials. Zbl 0934.15020Bilir, Bülent; Chicone, Carmen 6 1998 What are the equations of motion of classical physics? Zbl 1058.34108Chicone, Carmen 6 2002 Asymptotic phase revisited. Zbl 1064.34027Chicone, Carmen; Liu, Weishi 6 2004 The twisting tennis racket. Zbl 0713.70005Ashbaugh, Mark S.; Chicone, Carmen C.; Cushman, Richard H. 6 1991 Nonlocal gravity: Modified Poisson’s equation. Zbl 1279.83029Chicone, C.; Mashhoon, B. 5 2012 Periodic solutions of a system of coupled oscillators near resonance. Zbl 0839.34049Chicone, Carmen 5 1995 Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates. Zbl 1060.83504Chicone, C.; Mashhoon, B. 5 2005 The topology of stationary curl parallel solutions of Euler’s equations. Zbl 0475.58017Chicone, Carmen 4 1981 Tidal dynamics of relativistic flows near black holes. Zbl 1069.83502Chicone, C.; Mashhoon, B. 4 2005 Gradient-like and integrable vector fields on \({\mathbb{R}}^ 2\). Zbl 0564.58016Chicone, Carmen; Ehrlich, Paul 4 1984 The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091Chicone, C.; Latushkin, Y.; Montgomery-Smith, S. 3 1995 Analytical optimal controls for the state constrained addition and removal of cryoprotective agents. Zbl 1312.92016Benson, James D.; Chicone, Carmen C.; Critser, John K. 3 2012 The geodesic flow and sectional curvature of pseudo-Riemannian manifolds. Zbl 0488.53015Beem, J.; Chicone, C.; Ehrlich, P. 3 1982 Acceleration-induced nonlocality: Kinetic memory versus dynamic memory. Zbl 1002.83010Chicone, C.; Mashhoon, B. 3 2002 Acceleration-induced nonlocality: uniqueness of the kernel. Zbl 0995.81006Chicone, C.; Mashhoon, B. 3 2002 Tidal acceleration of ultrarelativistic particles. Zbl 1091.83501Chicone, C.; Mashhoon, B. 3 2005 Tangent bundle connections and the geodesic flow. Zbl 0449.58016Chicone, Carmen C. 2 1981 A generalized Poincaré stability criterion. Zbl 0472.58018Chicone, Carmen; Swanson, R. C. 2 1981 Multiple solutions of a nonlinear boundary value problem with application to chemical reactor dynamics. Zbl 0808.34024Retzloff, David G.; Chicone, Carmen; Hsu, Guan-Hsong 2 1994 Nonlocal Lagrangians for accelerated systems. Zbl 1206.83027Chicone, C.; Mashhoon, B. 2 2007 On the continuation of an invariant torus in a family with rapid oscillations. Zbl 0942.34035Chicone, Carmen; Liu, Weishi 2 2000 On the ionization of a Keplerian binary system by periodic gravitational radiation. Zbl 0869.70009Chicone, C.; Mashhoon, B.; Retzloff, D. G. 2 1996 Cosmic jets. Zbl 1242.83053Chicone, C.; Mashhoon, B.; Rosquist, K. 2 2011 Periodic orbits of coupled oscillators near resonance. Zbl 0898.34035Chicone, Carmen 2 1997 Sustained resonance: A binary system perturbed by gravitational radiation. Zbl 0954.34040Chicone, C.; Mashhoon, B.; Retzloff, D. G. 2 2000 Nonlocal gravity in the solar system. Zbl 1338.83140Chicone, C.; Mashhoon, B. 2 2016 Chaotic behavior in the dynamical system of a continuous stirred tank reactor. Zbl 0623.58035Retzloff, D. G.; Chan, P. C.-H.; Chicone, C.; Offin, D.; Mohamed, R. 2 1987 On bifurcation of limit cycles from centers. Zbl 0731.34020Chicone, Carmen 2 1990 Phase-locked loops, demodulation, and averaging approximation time-scale extensions. Zbl 1286.34069Chicone, Carmen; Heitzman, Michael T. 1 2013 Maximal muliplicity of the critical points of the CR equation modeling a constant flow stirred tank reactor. Zbl 0656.76089Retzloff, D. G.; Chan, P. C.-H.; Mohamed, R.; Offin, D.; Chicone, C. 1 1987 Observation and investigation of a non-monotonic period function for an impact oscillator. Zbl 1221.70029Chicone, Carmen; Felts, Kenny; Mann, Brian 1 2009 A parameter identification problem arising from a model of canalicular bile formation. Zbl 0782.92005Chicone, C. C.; Cai, Z.-S.; King, P. D.; Forker, E. L. 1 1993 Equivalence and slice theory for symplectic forms on closed manifolds. Zbl 0402.58001Swanson, R. C.; Chicone, C. C. 1 1979 Anosov does not imply infinitesimally ergodic. Zbl 0405.58034Swanson, R. C.; Chicone, Carmen 1 1979 Hyperbolicity and dissipativity. Zbl 0812.34061Chicone, C.; Latushkin, Y. 1 1994 Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056Chicone, C.; Latushkin, Y. 1 1995 Distortion minimal morphing: the theory for stretching. Zbl 1167.68055Bihun, Oksana; Chicone, Carmen 1 2009 Non-monotone period functions for impact oscillators. Zbl 1173.34031Chicone, Carmen; Felts, Kenny 1 2008 A gravitational mechanism for the acceleration of ultrarelativistic particles. Zbl 1161.70343Chicone, C.; Mashhoon, B. 1 2005 Chaos in the Hill system. Zbl 0932.37020Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1999 Chaos in the Kepler system. Zbl 0948.70010Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1999 Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062Chicone, C.; Latushkin, Y.; Retzloff, D. G. 1 1996 Gravitational ionization: Periodic orbits of binary systems perturbed by gravitational radiation. Zbl 0846.58076Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1996 Quadratic Morse-Smale vector fields which are not structurally stable. Zbl 0504.58026Chicone, Carmen; Shafer, Douglas S. 1 1982 Gravitational ionization: A chaotic net in the Kepler system. Zbl 0874.70010Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1997 Evolutionary dynamics while trapped in resonance: A Keplerian binary system perturbed by gravitational radiation. Zbl 0884.70026Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1997 Synchronization phenomena for coupled delay-line oscillators. Zbl 1071.34081Chicone, Carmen; Feng, Z. C. 1 2004 Significance of \(c/\sqrt 2\) in relativistic physics. Zbl 1060.83503Chicone, C.; Mashhoon, B. 1 2004 Deformation minimal bending of compact manifolds: case of simple closed curves. Zbl 1152.58014Bihun, Oksana; Chicone, Carmen 1 2008 Time-varying Lense-Thirring system. Zbl 1152.83332Chicone, C.; Mashhoon, B. 1 2008 A converse for the Cayley-Hamilton theorem. Zbl 0565.15005Chicone, Carmen; Kalton, N. J.; Papick, Ira J. 1 1985 Nonlocal gravity in the solar system. Zbl 1338.83140Chicone, C.; Mashhoon, B. 2 2016 Phase-locked loops, demodulation, and averaging approximation time-scale extensions. Zbl 1286.34069Chicone, Carmen; Heitzman, Michael T. 1 2013 Nonlocal gravity: Modified Poisson’s equation. Zbl 1279.83029Chicone, C.; Mashhoon, B. 5 2012 Analytical optimal controls for the state constrained addition and removal of cryoprotective agents. Zbl 1312.92016Benson, James D.; Chicone, Carmen C.; Critser, John K. 3 2012 A general model for the dynamics of cell volume, global stability, and optimal control. Zbl 1230.92014Benson, James D.; Chicone, Carmen C.; Critser, John K. 11 2011 Gravitomagnetic accelerators. Zbl 1242.83014Chicone, C.; Mashhoon, B. 9 2011 Cosmic jets. Zbl 1242.83053Chicone, C.; Mashhoon, B.; Rosquist, K. 2 2011 Observation and investigation of a non-monotonic period function for an impact oscillator. Zbl 1221.70029Chicone, Carmen; Felts, Kenny; Mann, Brian 1 2009 Distortion minimal morphing: the theory for stretching. Zbl 1167.68055Bihun, Oksana; Chicone, Carmen 1 2009 Gravitational induction. Zbl 1152.83346Bini, Donato; Cherubini, Christian; Chicone, Carmen; Mashhoon, Bahram 8 2008 Non-monotone period functions for impact oscillators. Zbl 1173.34031Chicone, Carmen; Felts, Kenny 1 2008 Deformation minimal bending of compact manifolds: case of simple closed curves. Zbl 1152.58014Bihun, Oksana; Chicone, Carmen 1 2008 Time-varying Lense-Thirring system. Zbl 1152.83332Chicone, C.; Mashhoon, B. 1 2008 Nonlocal Lagrangians for accelerated systems. Zbl 1206.83027Chicone, C.; Mashhoon, B. 2 2007 Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001Chicone, Carmen 216 2006 Tidal dynamics in Kerr spacetime. Zbl 1096.83040Chicone, C.; Mashhoon, B. 9 2006 Relativistic motion of spinning particles in a gravitational field. Zbl 1181.83148Chicone, C.; Mashhoon, B.; Punsly, B. 12 2005 Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates. Zbl 1060.83504Chicone, C.; Mashhoon, B. 5 2005 Tidal dynamics of relativistic flows near black holes. Zbl 1069.83502Chicone, C.; Mashhoon, B. 4 2005 Tidal acceleration of ultrarelativistic particles. Zbl 1091.83501Chicone, C.; Mashhoon, B. 3 2005 A gravitational mechanism for the acceleration of ultrarelativistic particles. Zbl 1161.70343Chicone, C.; Mashhoon, B. 1 2005 Inertial flows, slow flows, and combinatorial identities for delay equations. Zbl 1073.34087Chicone, Carmen 11 2004 Asymptotic phase revisited. Zbl 1064.34027Chicone, Carmen; Liu, Weishi 6 2004 Synchronization phenomena for coupled delay-line oscillators. Zbl 1071.34081Chicone, Carmen; Feng, Z. C. 1 2004 Significance of \(c/\sqrt 2\) in relativistic physics. Zbl 1060.83503Chicone, C.; Mashhoon, B. 1 2004 Inertial and slow manifolds for delay equations with small delays. Zbl 1044.34026Chicone, Carmen 27 2003 The generalized Jacobi equation. Zbl 1118.83315Chicone, C.; Mashhoon, B. 11 2002 Flat embeddings of the Möbius strip in \(\mathbb{R}^3\). Zbl 1035.53006Chicone, Carmen; Kalton, N. J. 11 2002 What are the equations of motion of classical physics? Zbl 1058.34108Chicone, Carmen 6 2002 Acceleration-induced nonlocality: Kinetic memory versus dynamic memory. Zbl 1002.83010Chicone, C.; Mashhoon, B. 3 2002 Acceleration-induced nonlocality: uniqueness of the kernel. Zbl 0995.81006Chicone, C.; Mashhoon, B. 3 2002 Delay equations and radiation damping. Zbl 0969.78506Chicone, C.; Kopeikin, S. M.; Mashhoon, B.; Retzloff, D. G. 12 2001 On the continuation of periodic orbits. Zbl 1017.34047Rhouma, M. B. H.; Chicone, C. 10 2000 Linearization via the Lie derivative. Zbl 0961.34026Chicone, Carmen; Swanson, Richard 6 2000 On the continuation of an invariant torus in a family with rapid oscillations. Zbl 0942.34035Chicone, Carmen; Liu, Weishi 2 2000 Sustained resonance: A binary system perturbed by gravitational radiation. Zbl 0954.34040Chicone, C.; Mashhoon, B.; Retzloff, D. G. 2 2000 Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027Chicone, Carmen; Latushkin, Yuri 262 1999 Ordinary differential equations with applications. Zbl 0937.34001Chicone, Carmen 113 1999 Chaos in the Hill system. Zbl 0932.37020Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1999 Chaos in the Kepler system. Zbl 0948.70010Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1999 A generalization of the inertia theorem for quadratic matrix polynomials. Zbl 0934.15020Bilir, Bülent; Chicone, Carmen 6 1998 Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033Chicone, C.; Latushkin, Y. 47 1997 Periodic orbits of coupled oscillators near resonance. Zbl 0898.34035Chicone, Carmen 2 1997 Gravitational ionization: A chaotic net in the Kepler system. Zbl 0874.70010Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1997 Evolutionary dynamics while trapped in resonance: A Keplerian binary system perturbed by gravitational radiation. Zbl 0884.70026Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1997 Approximate first integrals for discrete Hamiltonian systems. Zbl 0894.65036Ahlbrandt, Calvin D.; Chicone, Carmen; Clark, Stephen L.; Patula, William T.; Steiger, Donald 7 1996 On the ionization of a Keplerian binary system by periodic gravitational radiation. Zbl 0869.70009Chicone, C.; Mashhoon, B.; Retzloff, D. G. 2 1996 Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062Chicone, C.; Latushkin, Y.; Retzloff, D. G. 1 1996 Gravitational ionization: Periodic orbits of binary systems perturbed by gravitational radiation. Zbl 0846.58076Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1996 A geometric approach to regular perturbation theory with an application to hydrodynamics. Zbl 0849.58055Chicone, Carmen 9 1995 Periodic solutions of a system of coupled oscillators near resonance. Zbl 0839.34049Chicone, Carmen 5 1995 The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091Chicone, C.; Latushkin, Y.; Montgomery-Smith, S. 3 1995 Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056Chicone, C.; Latushkin, Y. 1 1995 Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators. Zbl 0807.34052Chicone, Carmen 22 1994 Multiple solutions of a nonlinear boundary value problem with application to chemical reactor dynamics. Zbl 0808.34024Retzloff, David G.; Chicone, Carmen; Hsu, Guan-Hsong 2 1994 Hyperbolicity and dissipativity. Zbl 0812.34061Chicone, C.; Latushkin, Y. 1 1994 Finiteness for critical periods of planar analytic vector fields. Zbl 0773.34032Chicone, Carmen; Dumortier, Freddy 30 1993 A parameter identification problem arising from a model of canalicular bile formation. Zbl 0782.92005Chicone, C. C.; Cai, Z.-S.; King, P. D.; Forker, E. L. 1 1993 Bifurcations of nonlinear oscillations and frequency entrainment near resonance. Zbl 0765.58018Chicone, Carmen 26 1992 Bifurcation of limit cycles from quadratic isochrones. Zbl 0733.34045Chicone, Carmen; Jacobs, Marc 85 1991 The twisting tennis racket. Zbl 0713.70005Ashbaugh, Mark S.; Chicone, Carmen C.; Cushman, Richard H. 6 1991 On bifurcation of limit cycles from centers. Zbl 0731.34020Chicone, Carmen 2 1990 Bifurcation of critical periods for plane vector fields. Zbl 0678.58027Chicone, Carmen; Jacobs, Marc 125 1989 Geometric methods for two-point nonlinear boundary value problems. Zbl 0693.34014Chicone, Carmen 22 1988 A quadratic system with a nonmonotonic period function. Zbl 0651.34043Chicone, Carmen; Dumortier, Freddy 16 1988 A note on the identifiability of distributed parameters in elliptic equations. Zbl 0644.35092Chicone, Carmen; Gerlach, Jürgen 8 1987 Chaotic behavior in the dynamical system of a continuous stirred tank reactor. Zbl 0623.58035Retzloff, D. G.; Chan, P. C.-H.; Chicone, C.; Offin, D.; Mohamed, R. 2 1987 Maximal muliplicity of the critical points of the CR equation modeling a constant flow stirred tank reactor. Zbl 0656.76089Retzloff, D. G.; Chan, P. C.-H.; Mohamed, R.; Offin, D.; Chicone, C. 1 1987 Limit cycles of a class of polynomial vector fields in the plane. Zbl 0651.34020Chicone, Carmen 7 1986 On a class of complete polynomial vector fields in the plane. Zbl 0589.58020Chicone, C.; Sotomayor, J. 7 1986 A converse for the Cayley-Hamilton theorem. Zbl 0565.15005Chicone, Carmen; Kalton, N. J.; Papick, Ira J. 1 1985 Gradient-like and integrable vector fields on \({\mathbb{R}}^ 2\). Zbl 0564.58016Chicone, Carmen; Ehrlich, Paul 4 1984 Separatrix and limit cycles of quadratic systems and Dulac’s theorem. Zbl 0522.58041Chicone, Carmen; Shafer, Douglas S. 14 1983 On general properties of quadratic systems. Zbl 0466.34011Chicone, Carmen; Tian, Jinghuang 34 1982 The geodesic flow and sectional curvature of pseudo-Riemannian manifolds. Zbl 0488.53015Beem, J.; Chicone, C.; Ehrlich, P. 3 1982 Quadratic Morse-Smale vector fields which are not structurally stable. Zbl 0504.58026Chicone, Carmen; Shafer, Douglas S. 1 1982 Spectral theory for linearizations of dynamical systems. Zbl 0432.58016Chicone, Carmen; Swanson, R. C. 14 1981 The topology of stationary curl parallel solutions of Euler’s equations. Zbl 0475.58017Chicone, Carmen 4 1981 Tangent bundle connections and the geodesic flow. Zbl 0449.58016Chicone, Carmen C. 2 1981 A generalized Poincaré stability criterion. Zbl 0472.58018Chicone, Carmen; Swanson, R. C. 2 1981 Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds. Zbl 0436.53043Chicone, Carmen; Ehrlich, Paul 14 1980 The spectrum of the adjoint representation and the hyperbolicity of dynamical systems. Zbl 0443.58019Chicone, Carmen; Swanson, R. C. 6 1980 Quadratic gradients on the plane are generically Morse-Smale. Zbl 0378.34041Chicone, Carmen C. 13 1979 Equivalence and slice theory for symplectic forms on closed manifolds. Zbl 0402.58001Swanson, R. C.; Chicone, C. C. 1 1979 Anosov does not imply infinitesimally ergodic. Zbl 0405.58034Swanson, R. C.; Chicone, Carmen 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,314 Authors 46 Llibre, Jaume 42 Valls Anglés, Cláudia 36 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 González-Olivares, Eduardo 14 Latushkin, Yuri 14 Preda, Ciprian 13 Rojas-Palma, Alejandro 12 Han, Maoan 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 Mello, Luis Fernando O. 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 de Carvalho Braga, Denis 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 Megan, Mihail 5 Novaes, Douglas Duarte 5 Popescu, Liviu Horia 5 Pospíšil, Michal 5 Retzloff, David G. 5 Saavedra, Mariana 5 Siegmund, Stefan 5 Szczygielski, Krzysztof 5 Yang, Xiaosong 5 Zhang, Xiang 4 Afsharnezhad, Zahra 4 Algaba, Antonio 4 Berchio, Elvise 4 Breda, Dimitri 4 Buzzi, Claudio Aguinaldo 4 Chavarriga, Javier 4 Coll, Bartomeu 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 Mereu, Ana Cristina ...and 1,214 more Authors all top 5 Cited in 269 Serials 139 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 31 Qualitative Theory of Dynamical Systems 28 Journal of Dynamics and Differential Equations 23 Proceedings of the American Mathematical Society 20 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 12 Discrete and Continuous Dynamical Systems. Series B 11 Journal of Mathematical Physics 10 Discrete and Continuous Dynamical Systems 10 SIAM Journal on Applied Dynamical Systems 9 Linear Algebra and its Applications 9 Abstract and Applied Analysis 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 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 Journal of Evolution Equations 6 Dynamical Systems 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 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 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 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 Ukrainian Mathematical Journal 2 Functional Analysis and its Applications 2 Geometriae Dedicata 2 International Journal of Circuit Theory and Applications 2 Osaka Journal of Mathematics ...and 169 more Serials all top 5 Cited in 54 Fields 652 Ordinary differential equations (34-XX) 323 Dynamical systems and ergodic theory (37-XX) 160 Partial differential equations (35-XX) 139 Operator theory (47-XX) 99 Biology and other natural sciences (92-XX) 64 Relativity and gravitational theory (83-XX) 56 Mechanics of particles and systems (70-XX) 56 Systems theory; control (93-XX) 48 Differential geometry (53-XX) 45 Difference and functional equations (39-XX) 45 Numerical analysis (65-XX) 38 Fluid mechanics (76-XX) 25 Quantum theory (81-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Functional analysis (46-XX) 19 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) 11 Manifolds and cell complexes (57-XX) 10 Computer science (68-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) 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) 6 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 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year