KCC theory for a type of nonlinear damped SD oscillators

Nonsmooth analysis (49J52) Stability of solutions to ordinary differential equations (34D20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Stability of manifolds of solutions to ordinary differential equations (34D35)

Cites Work

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Analysis of global dynamics in an unusual 3D chaotic system
Jacobi stability analysis of dynamical systems - applications in gravitation and cosmology
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Parallelism and path-spaces
Observations sur le memoire precedent
Generic bifurcation of refracted systems
The Poincaré bifurcation of a SD oscillator
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Phase portraits of planar piecewise linear refracting systems: focus-saddle case
Lotka-Volterra system and KCC theory: differential geometric structure of competitions and predations
The codimension-two bifurcation for the recent proposed SD oscillator
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Nonlinear Stability Analysis of the Emden–Fowler Equation
A Transient-State Analysis of Tyson's Model for the Cell Division Cycle by Means of KCC-Theory
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Analysis of Geometric Invariants for Three Types of Bifurcations in 2D Differential Systems
Kosambi–Cartan–Chern Stability in the Intermediate Nonequilibrium Region of the Brusselator Model
Kosambi–Cartan–Chern Analysis of the Nonequilibrium Singular Point in One-Dimensional Elementary Catastrophe
Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system
Jacobi Stability Analysis of the Chen System
Jacobi stability analysis of modified Chua circuit system
Jacobi Stability Analysis of Rössler System
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The Jacobi Stability of a Lorenz-Type Multistable Hyperchaotic System with a Curve of Equilibria
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Dynamics and Jacobi stability of the controlled 3D Hindmarsh-Rose neuron model
Jacobi analysis of a segmented disc dynamo system

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