Generalization of KCC-theory to fractional dynamical systems and application to viscoelastic oscillations
DOI10.1016/J.PHYSD.2024.134193zbMATH Open1545.34011MaRDI QIDQ6558857
Takuya Sakurada, Hiroyuki Nagahama, Takahiro Yajima
Publication date: 21 June 2024
Published in: Physica D (Search for Journal in Brave)
differential geometryfractional dynamical systemJacobi stabilityKCC-theorydeviation curvature tensorviscoelastic oscillation
Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Jacobi stability analysis of dynamical systems - applications in gravitation and cosmology
- Parallelism and path-spaces.
- Stability analysis of fractional differential system with Riemann-Liouville derivative
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Stability analysis of linear fractional differential system with multiple time delays
- Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
- Finsler geometry for nonlinear path of fluids flow through inhomogeneous media
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Some remarks on Jacobi stability
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The theory of sprays and Finsler spaces with applications in physics and biology
- Theories and models in symbiogenesis.
- Observations sur le memoire precedent
- On a numerical scheme for solving differential equations of fractional order
- Geometrical classification of self-similar motion of two-dimensional three point vortex system by deviation curvature on Jacobi field
- Fractional damping effects on the transient dynamics of the Duffing oscillator
- A new collection of real world applications of fractional calculus in science and engineering
- Lyapunov functions for fractional order systems
- Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
- Lotka-Volterra system and KCC theory: differential geometric structure of competitions and predations
- Systems biology and deviation curvature tensor
- Tangent bundle viewpoint of the Lorenz system and its chaotic behavior
- Fedosov quantization of fractional Lagrange spaces
- Sur la géométrie d'un système d'équations différentielles du second ordre.
- Jacobi stability analysis of Rikitake system
- Nonlinear Stability Analysis of the Emden–Fowler Equation
- Geometry of surfaces with Caputo fractional derivatives and applications to incompressible two-dimensional flows
- Differential geometry of viscoelastic models with fractional-order derivatives
- Operators and Fractional Derivatives for Viscoelastic Constitutive Equations
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- KCC-theory and geometry of the Rikitake system
- Jacobi stability analysis of the Lorenz system
- A new dissipation model based on memory mechanism
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Generalized viscoelastic models: their fractional equations with solutions
- Jacobi stability analysis and chaotic behavior of nonlinear double pendulum
- A numerical scheme for solving two-dimensional fractional optimal control problems by the Ritz method combined with fractional operational matrix
- On the Fractional Calculus Model of Viscoelastic Behavior
- KCC Analysis of a One-Dimensional System During Catastrophic Shift of the Hill Function: Douglas Tensor in the Nonequilibrium Region
- Delay-Induced Resonance in the Time-Delayed Duffing Oscillator
- Fractional curve flows and solitonic hierarchies in gravity and geometric mechanics
- Jacobi Stability Analysis of Rössler System
- KCC Analysis of the Normal Form of Typical Bifurcations in One-Dimensional Dynamical Systems: Geometrical Invariants of Saddle-Node, Transcritical, and Pitchfork Bifurcations
- Iteration method for equation of viscoelastic motion with fractional differential operator of damping
- Volterra-Hamilton production models with discounting: General theory and worked examples
- Geometric Structures of Fractional Dynamical Systems in Non‐Riemannian Space: Applications to Mechanical and Electromechanical Systems
- Informative fractal dimension associated with nonmetricity in information geometry
- A geometric interpretation of maximal Lyapunov exponent based on deviation curvature
This page was built for publication: Generalization of KCC-theory to fractional dynamical systems and application to viscoelastic oscillations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6558857)