Edit Profile Chicone, Carmen C. Compute Distance To: Compute Author ID: chicone.carmen-c Published as: Chicone, C.; Chicone, C. C.; Chicone, Carmen; Chicone, Carmen C. Documents Indexed: 100 Publications since 1979, including 5 Books Reviewing Activity: 112 Reviews all top 5 Co-Authors 18 single-authored 27 Mashhoon, Bahram 15 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 Offın, Dan 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 Cai, Zhangshan 1 Cherubini, Christian 1 Clark, Stephen L. 1 Cushman, Richard H. 1 Feng, Zhicheng 1 Forker, E. L. 1 Harris, Steven G. 1 Hsu, Guan-Hsong 1 King, P. D. 1 Kopeikin, Sergei M. 1 Mann, Brian P. 1 Mohamed, Rania Ahmed Hamed 1 Mohamed, Riad A. K. 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 10 Classical and Quantum Gravity 10 Journal of Differential Equations 5 Physics Letters. A 5 Proceedings of the American Mathematical Society 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 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 SIAM Journal on Applied Dynamical Systems 1 Electronic Journal of Differential Equations. Monograph 1 Mathematical Surveys and Monographs all top 5 Fields 41 Ordinary differential equations (34-XX) 33 Dynamical systems and ergodic theory (37-XX) 20 Relativity and gravitational theory (83-XX) 13 Mechanics of particles and systems (70-XX) 12 Differential geometry (53-XX) 6 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Biology and other natural sciences (92-XX) 4 Fluid mechanics (76-XX) 4 Astronomy and astrophysics (85-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-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 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 83 Publications have been cited 1,220 times in 1,022 Documents Cited by ▼ Year ▼ Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027Chicone, Carmen; Latushkin, Yuri 256 1999 Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001Chicone, Carmen 169 2006 Bifurcation of critical periods for plane vector fields. Zbl 0678.58027Chicone, Carmen; Jacobs, Marc 111 1989 Ordinary differential equations with applications. Zbl 0937.34001Chicone, Carmen 105 1999 Bifurcation of limit cycles from quadratic isochrones. Zbl 0733.34045Chicone, Carmen; Jacobs, Marc 77 1991 Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033Chicone, C.; Latushkin, Y. 42 1997 Finiteness for critical periods of planar analytic vector fields. Zbl 0773.34032Chicone, Carmen; Dumortier, Freddy 30 1993 On general properties of quadratic systems. Zbl 0466.34011Chicone, Carmen; Tian, Jinghuang 28 1982 Inertial and slow manifolds for delay equations with small delays. Zbl 1044.34026Chicone, Carmen 22 2003 Bifurcations of nonlinear oscillations and frequency entrainment near resonance. Zbl 0765.58018Chicone, Carmen 22 1992 Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators. Zbl 0807.34052Chicone, Carmen 20 1994 Geometric methods for two-point nonlinear boundary value problems. Zbl 0693.34014Chicone, Carmen 20 1988 A quadratic system with a nonmonotonic period function. Zbl 0651.34043Chicone, Carmen; Dumortier, Freddy 14 1988 Spectral theory for linearizations of dynamical systems. Zbl 0432.58016Chicone, Carmen; Swanson, R. C. 14 1981 Separatrix and limit cycles of quadratic systems and Dulac’s theorem. Zbl 0522.58041Chicone, Carmen; Shafer, Douglas S. 13 1983 Quadratic gradients on the plane are generically Morse-Smale. Zbl 0378.34041Chicone, Carmen C. 13 1979 Delay equations and radiation damping. Zbl 0969.78506Chicone, C.; Kopeikin, S. M.; Mashhoon, B.; Retzloff, D. G. 12 2001 Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds. Zbl 0436.53043Chicone, Carmen; Ehrlich, Paul 12 1980 The generalized Jacobi equation. Zbl 1118.83315Chicone, C.; Mashhoon, B. 11 2002 Tidal dynamics in Kerr spacetime. Zbl 1096.83040Chicone, C.; Mashhoon, B. 10 2006 Relativistic motion of spinning particles in a gravitational field. Zbl 1181.83148Chicone, C.; Mashhoon, B.; Punsly, B. 10 2005 Inertial flows, slow flows, and combinatorial identities for delay equations. Zbl 1073.34087Chicone, Carmen 10 2004 Flat embeddings of the Möbius strip in \(\mathbb{R}^3\). Zbl 1035.53006Chicone, Carmen; Kalton, N. J. 10 2002 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. 9 2011 On the continuation of periodic orbits. Zbl 1017.34047Rhouma, M. B. H.; Chicone, C. 8 2000 Approximate first integrals for discrete Hamiltonian systems. Zbl 0894.65036Ahlbrandt, Calvin D.; Chicone, Carmen; Clark, Stephen L.; Patula, William T.; Steiger, Donald 8 1996 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 8 1986 A geometric approach to regular perturbation theory with an application to hydrodynamics. Zbl 0849.58055Chicone, Carmen 7 1995 Gravitational induction. Zbl 1152.83346Bini, Donato; Cherubini, Christian; Chicone, Carmen; Mashhoon, Bahram 6 2008 Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates. Zbl 1060.83504Chicone, C.; Mashhoon, B. 6 2005 What are the equations of motion of classical physics? Zbl 1058.34108Chicone, Carmen 6 2002 Linearization via the Lie derivative. Zbl 0961.34026Chicone, Carmen; Swanson, Richard 6 2000 Periodic solutions of a system of coupled oscillators near resonance. Zbl 0839.34049Chicone, Carmen 6 1995 On a class of complete polynomial vector fields in the plane. Zbl 0589.58020Chicone, C.; Sotomayor, J. 6 1986 The spectrum of the adjoint representation and the hyperbolicity of dynamical systems. Zbl 0443.58019Chicone, Carmen; Swanson, R. C. 6 1980 Gravitomagnetic accelerators. Zbl 1242.83014Chicone, C.; Mashhoon, B. 5 2011 Asymptotic phase revisited. Zbl 1064.34027Chicone, Carmen; Liu, Weishi 5 2004 A generalization of the inertia theorem for quadratic matrix polynomials. Zbl 0934.15020Bilir, Bülent; Chicone, Carmen 5 1998 Nonlocal gravity: Modified Poisson’s equation. Zbl 1279.83029Chicone, C.; Mashhoon, B. 4 2012 Tidal dynamics of relativistic flows near black holes. Zbl 1069.83502Chicone, C.; Mashhoon, B. 4 2005 The twisting tennis racket. Zbl 0713.70005Ashbaugh, Mark S.; Chicone, Carmen C.; Cushman, Richard H. 4 1991 Gradient-like and integrable vector fields on \({\mathbb{R}}^ 2\). Zbl 0564.58016Chicone, Carmen; Ehrlich, Paul 4 1984 The topology of stationary curl parallel solutions of Euler’s equations. Zbl 0475.58017Chicone, Carmen 4 1981 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 Tidal acceleration of ultrarelativistic particles. Zbl 1091.83501Chicone, C.; Mashhoon, B. 3 2005 Acceleration-induced nonlocality: uniqueness of the kernel. Zbl 0995.81006Chicone, C.; Mashhoon, B. 3 2002 Acceleration-induced nonlocality: Kinetic memory versus dynamic memory. Zbl 1002.83010Chicone, C.; Mashhoon, B. 3 2002 The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091Chicone, C.; Latushkin, Y.; Montgomery-Smith, S. 3 1995 On bifurcation of limit cycles from centers. Zbl 0731.34020Chicone, Carmen 3 1990 The geodesic flow and sectional curvature of pseudo-Riemannian manifolds. Zbl 0488.53015Beem, J.; Chicone, C.; Ehrlich, P. 3 1982 A generalized Poincaré stability criterion. Zbl 0472.58018Chicone, Carmen; Swanson, R. C. 3 1981 Nonlocal gravity in the solar system. Zbl 1338.83140Chicone, C.; Mashhoon, B. 2 2016 Cosmic jets. Zbl 1242.83053Chicone, C.; Mashhoon, B.; Rosquist, K. 2 2011 Sustained resonance: A binary system perturbed by gravitational radiation. Zbl 0954.34040Chicone, C.; Mashhoon, B.; Retzloff, D. G. 2 2000 On the continuation of an invariant torus in a family with rapid oscillations. Zbl 0942.34035Chicone, Carmen; Liu, Weishi 2 2000 Periodic orbits of coupled oscillators near resonance. Zbl 0898.34035Chicone, Carmen 2 1997 On the ionization of a Keplerian binary system by periodic gravitational radiation. Zbl 0869.70009Chicone, C.; Mashhoon, B.; Retzloff, D. G. 2 1996 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 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 Tangent bundle connections and the geodesic flow. Zbl 0449.58016Chicone, Carmen C. 2 1981 Phase-locked loops, demodulation, and averaging approximation time-scale extensions. Zbl 1286.34069Chicone, Carmen; Heitzman, Michael T. 1 2013 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 Non-monotone period functions for impact oscillators. Zbl 1173.34031Chicone, Carmen; Felts, Kenny 1 2008 Time-varying Lense-Thirring system. Zbl 1152.83332Chicone, C.; Mashhoon, B. 1 2008 Deformation minimal bending of compact manifolds: case of simple closed curves. Zbl 1152.58014Bihun, Oksana; Chicone, Carmen 1 2008 Nonlocal Lagrangians for accelerated systems. Zbl 1206.83027Chicone, C.; Mashhoon, B. 1 2007 A gravitational mechanism for the acceleration of ultrarelativistic particles. Zbl 1161.70343Chicone, C.; Mashhoon, B. 1 2005 Significance of \(c/\sqrt 2\) in relativistic physics. Zbl 1060.83503Chicone, C.; Mashhoon, B. 1 2004 Synchronization phenomena for coupled delay-line oscillators. Zbl 1071.34081Chicone, Carmen; Feng, Z. C. 1 2004 Chaos in the Kepler system. Zbl 0948.70010Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1999 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 Gravitational ionization: A chaotic net in the Kepler system. Zbl 0874.70010Chicone, C.; Mashhoon, B.; Retzloff, D. G. 1 1997 Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062Chicone, C.; Latushkin, Y.; Retzloff, D. G. 1 1996 Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056Chicone, C.; Latushkin, Y. 1 1995 Hyperbolicity and dissipativity. Zbl 0812.34061Chicone, C.; Latushkin, Y. 1 1994 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 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 A converse for the Cayley-Hamilton theorem. Zbl 0565.15005Chicone, Carmen; Kalton, N. J.; Papick, Ira J. 1 1985 Quadratic Morse-Smale vector fields which are not structurally stable. Zbl 0504.58026Chicone, Carmen; Shafer, Douglas S. 1 1982 Anosov does not imply infinitesimally ergodic. Zbl 0405.58034Swanson, R. C.; Chicone, Carmen 1 1979 Equivalence and slice theory for symplectic forms on closed manifolds. Zbl 0402.58001Swanson, R. C.; Chicone, C. C. 1 1979 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. 4 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. 9 2011 Gravitomagnetic accelerators. Zbl 1242.83014Chicone, C.; Mashhoon, B. 5 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 6 2008 Non-monotone period functions for impact oscillators. Zbl 1173.34031Chicone, Carmen; Felts, Kenny 1 2008 Time-varying Lense-Thirring system. Zbl 1152.83332Chicone, C.; Mashhoon, B. 1 2008 Deformation minimal bending of compact manifolds: case of simple closed curves. Zbl 1152.58014Bihun, Oksana; Chicone, Carmen 1 2008 Nonlocal Lagrangians for accelerated systems. Zbl 1206.83027Chicone, C.; Mashhoon, B. 1 2007 Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001Chicone, Carmen 169 2006 Tidal dynamics in Kerr spacetime. Zbl 1096.83040Chicone, C.; Mashhoon, B. 10 2006 Relativistic motion of spinning particles in a gravitational field. Zbl 1181.83148Chicone, C.; Mashhoon, B.; Punsly, B. 10 2005 Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates. Zbl 1060.83504Chicone, C.; Mashhoon, B. 6 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 10 2004 Asymptotic phase revisited. Zbl 1064.34027Chicone, Carmen; Liu, Weishi 5 2004 Significance of \(c/\sqrt 2\) in relativistic physics. Zbl 1060.83503Chicone, C.; Mashhoon, B. 1 2004 Synchronization phenomena for coupled delay-line oscillators. Zbl 1071.34081Chicone, Carmen; Feng, Z. C. 1 2004 Inertial and slow manifolds for delay equations with small delays. Zbl 1044.34026Chicone, Carmen 22 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. 10 2002 What are the equations of motion of classical physics? Zbl 1058.34108Chicone, Carmen 6 2002 Acceleration-induced nonlocality: uniqueness of the kernel. Zbl 0995.81006Chicone, C.; Mashhoon, B. 3 2002 Acceleration-induced nonlocality: Kinetic memory versus dynamic memory. Zbl 1002.83010Chicone, 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. 8 2000 Linearization via the Lie derivative. Zbl 0961.34026Chicone, Carmen; Swanson, Richard 6 2000 Sustained resonance: A binary system perturbed by gravitational radiation. Zbl 0954.34040Chicone, C.; Mashhoon, B.; Retzloff, D. G. 2 2000 On the continuation of an invariant torus in a family with rapid oscillations. Zbl 0942.34035Chicone, Carmen; Liu, Weishi 2 2000 Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027Chicone, Carmen; Latushkin, Yuri 256 1999 Ordinary differential equations with applications. Zbl 0937.34001Chicone, Carmen 105 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 5 1998 Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033Chicone, C.; Latushkin, Y. 42 1997 Periodic orbits of coupled oscillators near resonance. Zbl 0898.34035Chicone, Carmen 2 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 Gravitational ionization: A chaotic net in the Kepler system. Zbl 0874.70010Chicone, 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 8 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 A geometric approach to regular perturbation theory with an application to hydrodynamics. Zbl 0849.58055Chicone, Carmen 7 1995 Periodic solutions of a system of coupled oscillators near resonance. Zbl 0839.34049Chicone, Carmen 6 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 20 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 22 1992 Bifurcation of limit cycles from quadratic isochrones. Zbl 0733.34045Chicone, Carmen; Jacobs, Marc 77 1991 The twisting tennis racket. Zbl 0713.70005Ashbaugh, Mark S.; Chicone, Carmen C.; Cushman, Richard H. 4 1991 On bifurcation of limit cycles from centers. Zbl 0731.34020Chicone, Carmen 3 1990 Bifurcation of critical periods for plane vector fields. Zbl 0678.58027Chicone, Carmen; Jacobs, Marc 111 1989 Geometric methods for two-point nonlinear boundary value problems. Zbl 0693.34014Chicone, Carmen 20 1988 A quadratic system with a nonmonotonic period function. Zbl 0651.34043Chicone, Carmen; Dumortier, Freddy 14 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 8 1986 On a class of complete polynomial vector fields in the plane. Zbl 0589.58020Chicone, C.; Sotomayor, J. 6 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. 13 1983 On general properties of quadratic systems. Zbl 0466.34011Chicone, Carmen; Tian, Jinghuang 28 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 A generalized Poincaré stability criterion. Zbl 0472.58018Chicone, Carmen; Swanson, R. C. 3 1981 Tangent bundle connections and the geodesic flow. Zbl 0449.58016Chicone, Carmen C. 2 1981 Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds. Zbl 0436.53043Chicone, Carmen; Ehrlich, Paul 12 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 Anosov does not imply infinitesimally ergodic. Zbl 0405.58034Swanson, R. C.; Chicone, Carmen 1 1979 Equivalence and slice theory for symplectic forms on closed manifolds. Zbl 0402.58001Swanson, R. C.; Chicone, C. C. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,214 Authors 51 Valls Anglés, Cláudia 47 Barreira, Luis Manuel 42 Llibre, Jaume 30 Chicone, Carmen C. 28 Gasull, Armengol 25 Zhang, Weinian 20 Dragičević, Davor 20 Villadelprat, Jordi 19 Giné, Jaume 19 Preda, Ciprian 18 Romanovski, Valery G. 14 Latushkin, Yuri 13 González-Olivares, Eduardo 13 Preda, Petre 11 Chen, Xingwu 11 Han, Maoan 11 Mashhoon, Bahram 11 Rojas-Palma, Alejandro 11 Sasu, Bogdan 11 Zhao, Yulin 10 Baskakov, Anatoliĭ Grigor’evich 10 Sasu, Adina Luminiţa 9 Fečkan, Michal 9 García, Isaac A. 9 Mañosas, Francesc 9 Nguyen Van Minh 9 Peng, Linping 9 Sabatini, Marco 8 Cima, Anna 8 Guillamon, Antoni 8 Schnaubelt, Roland 8 Shafer, Douglas S. 8 Torregrosa, Joan 7 Buică, Adriana 7 Gazzola, Filippo 7 Huang, Wentao 7 Swanson, Richard C. 6 Du, Zhengdong 6 Feng, Zhaosheng 6 Liu, Changjian 6 Makarenkov, Oleg Yuryĭovych 6 Mello, Luis Fernando O. 6 Perko, Lawrence M. 6 Prohens, Rafel 6 Tomilov, Yuri 6 Van Vleck, Erik S. 6 Zada, Akbar 6 Zhang, Xiang 5 Benson, James D. 5 Buşe, Constantin 5 Cafaro, Carlo 5 de Carvalho Braga, Denis 5 de la Llave, Rafael 5 Dumortier, Freddy 5 Flores, José D. 5 Gil’, Michael Iosif 5 Li, Yurong 5 Lorenzi, Luca 5 Marín Pérez, David 5 O’Regan, Donal 5 Popescu, Liviu Horia 5 Pospíšil, Michal 5 Pötzsche, Christian 5 Retzloff, David G. 5 Roberts, Anthony John 5 Rojas, David 5 Saavedra, Mariana 5 Siegmund, Stefan 5 Wang, Zhaoxia 4 Algaba, Antonio 4 Berchio, Elvise 4 Chavarriga, Javier 4 Duan, Jinqiao 4 Gallego Torromé, Ricardo 4 Gesztesy, Fritz 4 Giesl, Peter 4 Hu, Zhanrong 4 Jarque, Xavier 4 Jin, Zhen 4 Klein, David 4 Lara, Luis Pedro 4 Li, Chengzhi 4 Li, Jibin 4 Li, Na 4 Liang, Haihua 4 Liu, Weishi 4 Lu, Kening 4 Lupa, Nicolae 4 Mañosa, Víctor 4 Maza, Susanna 4 Megan, Mihail 4 Mena-Lorca, Jaime 4 Mereu, Ana Cristina 4 Naito, Toshiki 4 Nguyen Thieu Huy 4 Novaes, Douglas Duarte 4 Shvydkoy, Roman V. 4 Susanto, Hadi 4 Szczygielski, Krzysztof 4 Wu, Kuilin ...and 1,114 more Authors all top 5 Cited in 250 Serials 133 Journal of Differential Equations 68 Journal of Mathematical Analysis and Applications 46 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Journal of Dynamics and Differential Equations 26 Qualitative Theory of Dynamical Systems 21 Proceedings of the American Mathematical Society 21 Physica D 15 Transactions of the American Mathematical Society 15 Nonlinear Dynamics 14 General Relativity and Gravitation 14 Bulletin des Sciences Mathématiques 13 Chaos, Solitons and Fractals 12 Journal of Mathematical Physics 12 Applied Mathematics and Computation 12 Discrete and Continuous Dynamical Systems 10 Journal of Mathematical Biology 10 Abstract and Applied Analysis 9 Linear Algebra and its Applications 9 Nonlinear Analysis. Real World Applications 9 SIAM Journal on Applied Dynamical Systems 8 Bulletin of Mathematical Biology 8 Integral Equations and Operator Theory 8 Discrete and Continuous Dynamical Systems. Series B 8 Advances in Difference Equations 7 Computers & Mathematics with Applications 7 Journal of Computational and Applied Mathematics 7 Journal of Functional Analysis 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 International Journal of Modern Physics D 7 Journal of Difference Equations and Applications 7 Mediterranean Journal of Mathematics 6 Communications in Mathematical Physics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Communications in Nonlinear Science and Numerical Simulation 6 Differential Equations 6 Nonlinear Analysis. Theory, Methods & Applications 5 Mathematical Biosciences 5 Rocky Mountain Journal of Mathematics 5 Journal of Geometry and Physics 5 Automatica 5 Monatshefte für Mathematik 5 Semigroup Forum 5 Systems & Control Letters 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematical Modelling 5 Mathematical Problems in Engineering 5 Chaos 5 Journal of Evolution Equations 4 Archive for Rational Mechanics and Analysis 4 Mathematical Notes 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Archiv der Mathematik 4 Mathematics and Computers in Simulation 4 Applications of Mathematics 4 Discrete Dynamics in Nature and Society 4 Dynamical Systems 4 Communications on Pure and Applied Analysis 4 International Journal of Geometric Methods in Modern Physics 4 Annalen der Physik 3 Applicable Analysis 3 Astrophysics and Space Science 3 International Journal of Mathematical Education in Science and Technology 3 Mathematical Methods in the Applied Sciences 3 Nonlinearity 3 Physics Letters. A 3 Reviews in Mathematical Physics 3 Advances in Mathematics 3 Mathematische Zeitschrift 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 MCSS. 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Analyse Non Linéaire 2 Journal of Symbolic Computation 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Indagationes Mathematicae. New Series ...and 150 more Serials all top 5 Cited in 53 Fields 582 Ordinary differential equations (34-XX) 322 Dynamical systems and ergodic theory (37-XX) 155 Partial differential equations (35-XX) 134 Operator theory (47-XX) 85 Biology and other natural sciences (92-XX) 56 Relativity and gravitational theory (83-XX) 55 Systems theory; control (93-XX) 47 Mechanics of particles and systems (70-XX) 46 Differential geometry (53-XX) 45 Difference and functional equations (39-XX) 41 Numerical analysis (65-XX) 33 Fluid mechanics (76-XX) 21 Probability theory and stochastic processes (60-XX) 21 Quantum theory (81-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Mechanics of deformable solids (74-XX) 17 Functional analysis (46-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Optics, electromagnetic theory (78-XX) 13 Astronomy and astrophysics (85-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 Statistics (62-XX) 8 Integral equations (45-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Algebraic geometry (14-XX) 5 Abstract harmonic analysis (43-XX) 5 Computer science (68-XX) 4 Commutative algebra (13-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Algebraic topology (55-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 1 Convex and discrete geometry (52-XX) Citations by Year