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Chicone, Carmen C.

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Author ID: chicone.carmen-c Recent zbMATH articles by "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

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

Publications by Year

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 0970.47027
Chicone, Carmen; Latushkin, Yuri
256
1999
Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001
Chicone, Carmen
169
2006
Bifurcation of critical periods for plane vector fields. Zbl 0678.58027
Chicone, Carmen; Jacobs, Marc
111
1989
Ordinary differential equations with applications. Zbl 0937.34001
Chicone, Carmen
105
1999
Bifurcation of limit cycles from quadratic isochrones. Zbl 0733.34045
Chicone, Carmen; Jacobs, Marc
77
1991
Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033
Chicone, C.; Latushkin, Y.
42
1997
Finiteness for critical periods of planar analytic vector fields. Zbl 0773.34032
Chicone, Carmen; Dumortier, Freddy
30
1993
On general properties of quadratic systems. Zbl 0466.34011
Chicone, Carmen; Tian, Jinghuang
28
1982
Inertial and slow manifolds for delay equations with small delays. Zbl 1044.34026
Chicone, Carmen
22
2003
Bifurcations of nonlinear oscillations and frequency entrainment near resonance. Zbl 0765.58018
Chicone, Carmen
22
1992
Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators. Zbl 0807.34052
Chicone, Carmen
20
1994
Geometric methods for two-point nonlinear boundary value problems. Zbl 0693.34014
Chicone, Carmen
20
1988
A quadratic system with a nonmonotonic period function. Zbl 0651.34043
Chicone, Carmen; Dumortier, Freddy
14
1988
Spectral theory for linearizations of dynamical systems. Zbl 0432.58016
Chicone, Carmen; Swanson, R. C.
14
1981
Separatrix and limit cycles of quadratic systems and Dulac’s theorem. Zbl 0522.58041
Chicone, Carmen; Shafer, Douglas S.
13
1983
Quadratic gradients on the plane are generically Morse-Smale. Zbl 0378.34041
Chicone, Carmen C.
13
1979
Delay equations and radiation damping. Zbl 0969.78506
Chicone, 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 0436.53043
Chicone, Carmen; Ehrlich, Paul
12
1980
The generalized Jacobi equation. Zbl 1118.83315
Chicone, C.; Mashhoon, B.
11
2002
Tidal dynamics in Kerr spacetime. Zbl 1096.83040
Chicone, C.; Mashhoon, B.
10
2006
Relativistic motion of spinning particles in a gravitational field. Zbl 1181.83148
Chicone, C.; Mashhoon, B.; Punsly, B.
10
2005
Inertial flows, slow flows, and combinatorial identities for delay equations. Zbl 1073.34087
Chicone, Carmen
10
2004
Flat embeddings of the Möbius strip in \(\mathbb{R}^3\). Zbl 1035.53006
Chicone, Carmen; Kalton, N. J.
10
2002
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.
9
2011
On the continuation of periodic orbits. Zbl 1017.34047
Rhouma, M. B. H.; Chicone, C.
8
2000
Approximate first integrals for discrete Hamiltonian systems. Zbl 0894.65036
Ahlbrandt, 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 0644.35092
Chicone, Carmen; Gerlach, Jürgen
8
1987
Limit cycles of a class of polynomial vector fields in the plane. Zbl 0651.34020
Chicone, Carmen
8
1986
A geometric approach to regular perturbation theory with an application to hydrodynamics. Zbl 0849.58055
Chicone, Carmen
7
1995
Gravitational induction. Zbl 1152.83346
Bini, Donato; Cherubini, Christian; Chicone, Carmen; Mashhoon, Bahram
6
2008
Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates. Zbl 1060.83504
Chicone, C.; Mashhoon, B.
6
2005
What are the equations of motion of classical physics? Zbl 1058.34108
Chicone, Carmen
6
2002
Linearization via the Lie derivative. Zbl 0961.34026
Chicone, Carmen; Swanson, Richard
6
2000
Periodic solutions of a system of coupled oscillators near resonance. Zbl 0839.34049
Chicone, Carmen
6
1995
On a class of complete polynomial vector fields in the plane. Zbl 0589.58020
Chicone, C.; Sotomayor, J.
6
1986
The spectrum of the adjoint representation and the hyperbolicity of dynamical systems. Zbl 0443.58019
Chicone, Carmen; Swanson, R. C.
6
1980
Gravitomagnetic accelerators. Zbl 1242.83014
Chicone, C.; Mashhoon, B.
5
2011
Asymptotic phase revisited. Zbl 1064.34027
Chicone, Carmen; Liu, Weishi
5
2004
A generalization of the inertia theorem for quadratic matrix polynomials. Zbl 0934.15020
Bilir, Bülent; Chicone, Carmen
5
1998
Nonlocal gravity: Modified Poisson’s equation. Zbl 1279.83029
Chicone, C.; Mashhoon, B.
4
2012
Tidal dynamics of relativistic flows near black holes. Zbl 1069.83502
Chicone, C.; Mashhoon, B.
4
2005
The twisting tennis racket. Zbl 0713.70005
Ashbaugh, Mark S.; Chicone, Carmen C.; Cushman, Richard H.
4
1991
Gradient-like and integrable vector fields on \({\mathbb{R}}^ 2\). Zbl 0564.58016
Chicone, Carmen; Ehrlich, Paul
4
1984
The topology of stationary curl parallel solutions of Euler’s equations. Zbl 0475.58017
Chicone, Carmen
4
1981
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.
3
2012
Tidal acceleration of ultrarelativistic particles. Zbl 1091.83501
Chicone, C.; Mashhoon, B.
3
2005
Acceleration-induced nonlocality: uniqueness of the kernel. Zbl 0995.81006
Chicone, C.; Mashhoon, B.
3
2002
Acceleration-induced nonlocality: Kinetic memory versus dynamic memory. Zbl 1002.83010
Chicone, C.; Mashhoon, B.
3
2002
The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091
Chicone, C.; Latushkin, Y.; Montgomery-Smith, S.
3
1995
On bifurcation of limit cycles from centers. Zbl 0731.34020
Chicone, Carmen
3
1990
The geodesic flow and sectional curvature of pseudo-Riemannian manifolds. Zbl 0488.53015
Beem, J.; Chicone, C.; Ehrlich, P.
3
1982
A generalized Poincaré stability criterion. Zbl 0472.58018
Chicone, Carmen; Swanson, R. C.
3
1981
Nonlocal gravity in the solar system. Zbl 1338.83140
Chicone, C.; Mashhoon, B.
2
2016
Cosmic jets. Zbl 1242.83053
Chicone, C.; Mashhoon, B.; Rosquist, K.
2
2011
Sustained resonance: A binary system perturbed by gravitational radiation. Zbl 0954.34040
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
2
2000
On the continuation of an invariant torus in a family with rapid oscillations. Zbl 0942.34035
Chicone, Carmen; Liu, Weishi
2
2000
Periodic orbits of coupled oscillators near resonance. Zbl 0898.34035
Chicone, Carmen
2
1997
On the ionization of a Keplerian binary system by periodic gravitational radiation. Zbl 0869.70009
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
2
1996
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
2
1994
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.
2
1987
Tangent bundle connections and the geodesic flow. Zbl 0449.58016
Chicone, Carmen C.
2
1981
Phase-locked loops, demodulation, and averaging approximation time-scale extensions. Zbl 1286.34069
Chicone, Carmen; Heitzman, Michael T.
1
2013
Observation and investigation of a non-monotonic period function for an impact oscillator. Zbl 1221.70029
Chicone, Carmen; Felts, Kenny; Mann, Brian
1
2009
Distortion minimal morphing: the theory for stretching. Zbl 1167.68055
Bihun, Oksana; Chicone, Carmen
1
2009
Non-monotone period functions for impact oscillators. Zbl 1173.34031
Chicone, Carmen; Felts, Kenny
1
2008
Time-varying Lense-Thirring system. Zbl 1152.83332
Chicone, C.; Mashhoon, B.
1
2008
Deformation minimal bending of compact manifolds: case of simple closed curves. Zbl 1152.58014
Bihun, Oksana; Chicone, Carmen
1
2008
Nonlocal Lagrangians for accelerated systems. Zbl 1206.83027
Chicone, C.; Mashhoon, B.
1
2007
A gravitational mechanism for the acceleration of ultrarelativistic particles. Zbl 1161.70343
Chicone, C.; Mashhoon, B.
1
2005
Significance of \(c/\sqrt 2\) in relativistic physics. Zbl 1060.83503
Chicone, C.; Mashhoon, B.
1
2004
Synchronization phenomena for coupled delay-line oscillators. Zbl 1071.34081
Chicone, Carmen; Feng, Z. C.
1
2004
Chaos in the Kepler system. Zbl 0948.70010
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1
1999
Evolutionary dynamics while trapped in resonance: A Keplerian binary system perturbed by gravitational radiation. Zbl 0884.70026
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1
1997
Gravitational ionization: A chaotic net in the Kepler system. Zbl 0874.70010
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1
1997
Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062
Chicone, C.; Latushkin, Y.; Retzloff, D. G.
1
1996
Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056
Chicone, C.; Latushkin, Y.
1
1995
Hyperbolicity and dissipativity. Zbl 0812.34061
Chicone, C.; Latushkin, Y.
1
1994
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.
1
1993
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.
1
1987
A converse for the Cayley-Hamilton theorem. Zbl 0565.15005
Chicone, Carmen; Kalton, N. J.; Papick, Ira J.
1
1985
Quadratic Morse-Smale vector fields which are not structurally stable. Zbl 0504.58026
Chicone, Carmen; Shafer, Douglas S.
1
1982
Anosov does not imply infinitesimally ergodic. Zbl 0405.58034
Swanson, R. C.; Chicone, Carmen
1
1979
Equivalence and slice theory for symplectic forms on closed manifolds. Zbl 0402.58001
Swanson, R. C.; Chicone, C. C.
1
1979
Nonlocal gravity in the solar system. Zbl 1338.83140
Chicone, C.; Mashhoon, B.
2
2016
Phase-locked loops, demodulation, and averaging approximation time-scale extensions. Zbl 1286.34069
Chicone, Carmen; Heitzman, Michael T.
1
2013
Nonlocal gravity: Modified Poisson’s equation. Zbl 1279.83029
Chicone, C.; Mashhoon, B.
4
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.
3
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.
9
2011
Gravitomagnetic accelerators. Zbl 1242.83014
Chicone, C.; Mashhoon, B.
5
2011
Cosmic jets. Zbl 1242.83053
Chicone, C.; Mashhoon, B.; Rosquist, K.
2
2011
Observation and investigation of a non-monotonic period function for an impact oscillator. Zbl 1221.70029
Chicone, Carmen; Felts, Kenny; Mann, Brian
1
2009
Distortion minimal morphing: the theory for stretching. Zbl 1167.68055
Bihun, Oksana; Chicone, Carmen
1
2009
Gravitational induction. Zbl 1152.83346
Bini, Donato; Cherubini, Christian; Chicone, Carmen; Mashhoon, Bahram
6
2008
Non-monotone period functions for impact oscillators. Zbl 1173.34031
Chicone, Carmen; Felts, Kenny
1
2008
Time-varying Lense-Thirring system. Zbl 1152.83332
Chicone, C.; Mashhoon, B.
1
2008
Deformation minimal bending of compact manifolds: case of simple closed curves. Zbl 1152.58014
Bihun, Oksana; Chicone, Carmen
1
2008
Nonlocal Lagrangians for accelerated systems. Zbl 1206.83027
Chicone, C.; Mashhoon, B.
1
2007
Ordinary differential equations with applications. 2nd ed. Zbl 1120.34001
Chicone, Carmen
169
2006
Tidal dynamics in Kerr spacetime. Zbl 1096.83040
Chicone, C.; Mashhoon, B.
10
2006
Relativistic motion of spinning particles in a gravitational field. Zbl 1181.83148
Chicone, C.; Mashhoon, B.; Punsly, B.
10
2005
Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates. Zbl 1060.83504
Chicone, C.; Mashhoon, B.
6
2005
Tidal dynamics of relativistic flows near black holes. Zbl 1069.83502
Chicone, C.; Mashhoon, B.
4
2005
Tidal acceleration of ultrarelativistic particles. Zbl 1091.83501
Chicone, C.; Mashhoon, B.
3
2005
A gravitational mechanism for the acceleration of ultrarelativistic particles. Zbl 1161.70343
Chicone, C.; Mashhoon, B.
1
2005
Inertial flows, slow flows, and combinatorial identities for delay equations. Zbl 1073.34087
Chicone, Carmen
10
2004
Asymptotic phase revisited. Zbl 1064.34027
Chicone, Carmen; Liu, Weishi
5
2004
Significance of \(c/\sqrt 2\) in relativistic physics. Zbl 1060.83503
Chicone, C.; Mashhoon, B.
1
2004
Synchronization phenomena for coupled delay-line oscillators. Zbl 1071.34081
Chicone, Carmen; Feng, Z. C.
1
2004
Inertial and slow manifolds for delay equations with small delays. Zbl 1044.34026
Chicone, Carmen
22
2003
The generalized Jacobi equation. Zbl 1118.83315
Chicone, C.; Mashhoon, B.
11
2002
Flat embeddings of the Möbius strip in \(\mathbb{R}^3\). Zbl 1035.53006
Chicone, Carmen; Kalton, N. J.
10
2002
What are the equations of motion of classical physics? Zbl 1058.34108
Chicone, Carmen
6
2002
Acceleration-induced nonlocality: uniqueness of the kernel. Zbl 0995.81006
Chicone, C.; Mashhoon, B.
3
2002
Acceleration-induced nonlocality: Kinetic memory versus dynamic memory. Zbl 1002.83010
Chicone, C.; Mashhoon, B.
3
2002
Delay equations and radiation damping. Zbl 0969.78506
Chicone, C.; Kopeikin, S. M.; Mashhoon, B.; Retzloff, D. G.
12
2001
On the continuation of periodic orbits. Zbl 1017.34047
Rhouma, M. B. H.; Chicone, C.
8
2000
Linearization via the Lie derivative. Zbl 0961.34026
Chicone, Carmen; Swanson, Richard
6
2000
Sustained resonance: A binary system perturbed by gravitational radiation. Zbl 0954.34040
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
2
2000
On the continuation of an invariant torus in a family with rapid oscillations. Zbl 0942.34035
Chicone, Carmen; Liu, Weishi
2
2000
Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027
Chicone, Carmen; Latushkin, Yuri
256
1999
Ordinary differential equations with applications. Zbl 0937.34001
Chicone, Carmen
105
1999
Chaos in the Kepler system. Zbl 0948.70010
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1
1999
A generalization of the inertia theorem for quadratic matrix polynomials. Zbl 0934.15020
Bilir, Bülent; Chicone, Carmen
5
1998
Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033
Chicone, C.; Latushkin, Y.
42
1997
Periodic orbits of coupled oscillators near resonance. Zbl 0898.34035
Chicone, Carmen
2
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.
1
1997
Gravitational ionization: A chaotic net in the Kepler system. Zbl 0874.70010
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
1
1997
Approximate first integrals for discrete Hamiltonian systems. Zbl 0894.65036
Ahlbrandt, 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 0869.70009
Chicone, C.; Mashhoon, B.; Retzloff, D. G.
2
1996
Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062
Chicone, C.; Latushkin, Y.; Retzloff, D. G.
1
1996
A geometric approach to regular perturbation theory with an application to hydrodynamics. Zbl 0849.58055
Chicone, Carmen
7
1995
Periodic solutions of a system of coupled oscillators near resonance. Zbl 0839.34049
Chicone, Carmen
6
1995
The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091
Chicone, C.; Latushkin, Y.; Montgomery-Smith, S.
3
1995
Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056
Chicone, C.; Latushkin, Y.
1
1995
Lyapunov-Schmidt reductions and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators. Zbl 0807.34052
Chicone, Carmen
20
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
2
1994
Hyperbolicity and dissipativity. Zbl 0812.34061
Chicone, C.; Latushkin, Y.
1
1994
Finiteness for critical periods of planar analytic vector fields. Zbl 0773.34032
Chicone, Carmen; Dumortier, Freddy
30
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.
1
1993
Bifurcations of nonlinear oscillations and frequency entrainment near resonance. Zbl 0765.58018
Chicone, Carmen
22
1992
Bifurcation of limit cycles from quadratic isochrones. Zbl 0733.34045
Chicone, Carmen; Jacobs, Marc
77
1991
The twisting tennis racket. Zbl 0713.70005
Ashbaugh, Mark S.; Chicone, Carmen C.; Cushman, Richard H.
4
1991
On bifurcation of limit cycles from centers. Zbl 0731.34020
Chicone, Carmen
3
1990
Bifurcation of critical periods for plane vector fields. Zbl 0678.58027
Chicone, Carmen; Jacobs, Marc
111
1989
Geometric methods for two-point nonlinear boundary value problems. Zbl 0693.34014
Chicone, Carmen
20
1988
A quadratic system with a nonmonotonic period function. Zbl 0651.34043
Chicone, Carmen; Dumortier, Freddy
14
1988
A note on the identifiability of distributed parameters in elliptic equations. Zbl 0644.35092
Chicone, Carmen; Gerlach, Jürgen
8
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.
2
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.
1
1987
Limit cycles of a class of polynomial vector fields in the plane. Zbl 0651.34020
Chicone, Carmen
8
1986
On a class of complete polynomial vector fields in the plane. Zbl 0589.58020
Chicone, C.; Sotomayor, J.
6
1986
A converse for the Cayley-Hamilton theorem. Zbl 0565.15005
Chicone, Carmen; Kalton, N. J.; Papick, Ira J.
1
1985
Gradient-like and integrable vector fields on \({\mathbb{R}}^ 2\). Zbl 0564.58016
Chicone, Carmen; Ehrlich, Paul
4
1984
Separatrix and limit cycles of quadratic systems and Dulac’s theorem. Zbl 0522.58041
Chicone, Carmen; Shafer, Douglas S.
13
1983
On general properties of quadratic systems. Zbl 0466.34011
Chicone, Carmen; Tian, Jinghuang
28
1982
The geodesic flow and sectional curvature of pseudo-Riemannian manifolds. Zbl 0488.53015
Beem, J.; Chicone, C.; Ehrlich, P.
3
1982
Quadratic Morse-Smale vector fields which are not structurally stable. Zbl 0504.58026
Chicone, Carmen; Shafer, Douglas S.
1
1982
Spectral theory for linearizations of dynamical systems. Zbl 0432.58016
Chicone, Carmen; Swanson, R. C.
14
1981
The topology of stationary curl parallel solutions of Euler’s equations. Zbl 0475.58017
Chicone, Carmen
4
1981
A generalized Poincaré stability criterion. Zbl 0472.58018
Chicone, Carmen; Swanson, R. C.
3
1981
Tangent bundle connections and the geodesic flow. Zbl 0449.58016
Chicone, Carmen C.
2
1981
Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds. Zbl 0436.53043
Chicone, Carmen; Ehrlich, Paul
12
1980
The spectrum of the adjoint representation and the hyperbolicity of dynamical systems. Zbl 0443.58019
Chicone, Carmen; Swanson, R. C.
6
1980
Quadratic gradients on the plane are generically Morse-Smale. Zbl 0378.34041
Chicone, Carmen C.
13
1979
Anosov does not imply infinitesimally ergodic. Zbl 0405.58034
Swanson, R. C.; Chicone, Carmen
1
1979
Equivalence and slice theory for symplectic forms on closed manifolds. Zbl 0402.58001
Swanson, R. C.; Chicone, C. C.
1
1979
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. Mathematics of Control, Signals, and Systems
3 Celestial Mechanics and Dynamical Astronomy
3 Journal of Nonlinear Science
3 Journal of Mathematical Sciences (New York)
3 NoDEA. Nonlinear Differential Equations and Applications
3 Acta Mathematica Sinica. English Series
3 Living Reviews in Relativity
3 Annales Henri Poincaré
2 American Mathematical Monthly
2 Bulletin of the Australian Mathematical Society
2 Classical and Quantum Gravity
2 International Journal of Theoretical Physics
2 Journal d’Analyse Mathématique
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physica A
2 Functional Analysis and its Applications
2 Geometriae Dedicata
2 International Journal of Circuit Theory and Applications
2 Mathematische Annalen
2 Numerische Mathematik
2 Osaka Journal of Mathematics
2 Results in Mathematics
2 Ergodic Theory and Dynamical Systems
2 Chinese Annals of Mathematics. Series B
2 Annales de l’Institut Henri Poincaré. 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