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Original Articles

Jacobi Stability of Circular Orbits in a Central Force

Pages 197-214 | Received 28 Jun 2012, Accepted 21 Oct 2012, Published online: 03 Jun 2013

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Read on this site (2)

Yongjian Liu, Haimei Chen, Xiaoting Lu, Chunsheng Feng & Aimin Liu. (2022) Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system. Applicable Analysis 101:13, pages 4377-4396.
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Kazuhito Yamasaki & Takahiro Yajima. (2016) Differential geometric structure of non-equilibrium dynamics in competition and predation: Finsler geometry and KCC theory. Journal of Dynamical Systems and Geometric Theories 14:2, pages 137-153.
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Articles from other publishers (13)

Qigui Yang & Xiaoting Lu. (2023) Dynamics and Jacobi stability of the controlled 3D Hindmarsh-Rose neuron model. Discrete and Continuous Dynamical Systems - B 0:0, pages 0-0.
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Yongjian Liu, Biyu Chen, Xiezhen Huang, Li Ye & Zhouchao Wei. (2022) Qualitative geometric analysis of traveling wave solutions of the modified equal width Burgers equation. Mathematical Methods in the Applied Sciences 45:16, pages 9560-9577.
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Kazuhito Yamasaki & Takahiro Yajima. (2022) Kosambi–Cartan–Chern Stability in the Intermediate Nonequilibrium Region of the Brusselator Model. International Journal of Bifurcation and Chaos 32:02.
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Zhouchao Wei, Fanrui Wang, Huijuan Li & Wei Zhang. (2022) Jacobi stability analysis and impulsive control of a 5D self-exciting homopolar disc dynamo. Discrete and Continuous Dynamical Systems - B 27:9, pages 5029.
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Yongjian Liu, Chunbiao Li & Aimin Liu. (2021) Analysis of Geometric Invariants for Three Types of Bifurcations in 2D Differential Systems. International Journal of Bifurcation and Chaos 31:07, pages 2150105.
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T. N. Mishra & B. Tiwari. (2021) Stability and Bifurcation Analysis of a Prey–Predator Model. International Journal of Bifurcation and Chaos 31:04, pages 2150059.
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Yongjian Liu, Qiujian Huang & Zhouchao Wei. (2021) Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system. Discrete & Continuous Dynamical Systems - B 26:6, pages 3357.
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Aimin Liu, Biyu Chen & Yuming Wei. (2020) Jacobi analysis of a segmented disc dynamo system. International Journal of Geometric Methods in Modern Physics 17:14, pages 2050205.
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Biyu Chen, Yongjian Liu, Zhouchao Wei & Chunsheng Feng. (2020) New insights into a chaotic system with only a Lyapunov stable equilibrium. Mathematical Methods in the Applied Sciences 43:15, pages 9262-9279.
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Kazuhito Yamasaki & Takahiro Yajima. (2020) KCC Analysis of a One-Dimensional System During Catastrophic Shift of the Hill Function: Douglas Tensor in the Nonequilibrium Region. International Journal of Bifurcation and Chaos 30:11, pages 2030032.
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Chunsheng Feng, Qiujian Huang & Yongjian Liu. (2020) Jacobi analysis for an unusual 3D autonomous system. International Journal of Geometric Methods in Modern Physics 17:04, pages 2050062.
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Manoj Kumar, T. N. Mishra & B. Tiwari. (2019) Stability analysis of Navier–Stokes system. International Journal of Geometric Methods in Modern Physics 16:10, pages 1950157.
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Bogdan Dănilă, Tiberiu Harko, Man Kwong Mak, Praiboon Pantaragphong & Sorin V. Sabau. (2016) Jacobi Stability Analysis of Scalar Field Models with Minimal Coupling to Gravity in a Cosmological Background. Advances in High Energy Physics 2016, pages 1-26.
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