Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems
From MaRDI portal
Publication:2407134
DOI10.1016/j.jde.2017.08.011zbMath1419.37052OpenAlexW2745623429MaRDI QIDQ2407134
Publication date: 28 September 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.08.011
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items
Bifurcation methods of periodic orbits for piecewise smooth systems ⋮ Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system ⋮ Decay rate and energy gap for the singularity solution of the inhomogeneous Landau-Lifshitz equation on \(\mathbb{S}^2\) ⋮ Convergence properties of the single-step preconditioned HSS method for non-Hermitian positive semidefinite linear systems ⋮ Limit Cycles Appearing From Piecewise Smooth Perturbations to a Reversible Nonlinear Center ⋮ Hybrid tactics for bifurcation control in a fractional-order delayed predator-prey model ⋮ On the Entropy Points and Shadowing in Uniform Spaces ⋮ Dynamic complexity of a fractional-order predator-prey system with double delays ⋮ Enhanced bifurcation results for a delayed fractional neural network with heterogeneous orders ⋮ Finite-time synchronization of memristive neural networks with parameter uncertainties via aperiodically intermittent adjustment ⋮ Periodic Orbits Bifurcating from a Nonisolated Zero–Hopf Equilibrium of Three-Dimensional Differential Systems Revisited ⋮ Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes ⋮ Novel bifurcation results for a delayed fractional-order quaternion-valued neural network ⋮ Stability and bifurcation analysis of a gene expression model with small RNAs and mixed delays ⋮ On semi-convergence of parameterized SHSS method for a class of singular complex symmetric linear systems ⋮ An accelerated cyclic-reduction-based solvent method for solving quadratic eigenvalue problem of gyroscopic systems ⋮ Phase portraits of continuous piecewise linear Liénard differential systems with three zones ⋮ Energy decay rate of multidimensional inhomogeneous Landau-Lifshitz-Gilbert equation and Schrödinger map equation on the sphere ⋮ Center Conditions and Bifurcation of Limit Cycles Created from a Class of Second-Order ODEs ⋮ Stability of a Mathematical Model with Piecewise Constant Arguments for Tumor-Immune Interaction Under Drug Therapy ⋮ Upper estimates for the number of periodic solutions to multi-dimensional systems ⋮ Developing CRS iterative methods for periodic Sylvester matrix equation ⋮ Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory ⋮ The coupling integrable couplings of the generalized coupled Burgers equation hierarchy and its Hamiltonian structure ⋮ DYNAMIC ANALYSIS OF A NON-AUTONOMOUS RATIO-DEPENDENT PREDATOR-PREY MODEL WITH ADDITIONAL FOOD ⋮ Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems ⋮ Disparate delays-induced bifurcations in a fractional-order neural network ⋮ On the Number of Periodic Solutions of Delay Differential Equations ⋮ Limit cycles and invariant curves in a class of switching systems with degree four ⋮ An accelerated symmetric SOR-like method for augmented systems ⋮ A novel strategy of bifurcation control for a delayed fractional predator-prey model ⋮ Bifurcation of periodic orbits of a three-dimensional piecewise smooth system ⋮ Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type ⋮ On Uniqueness of Limit Cycles in General Bogdanov–Takens Bifurcation ⋮ Inducing Sensitivity of Fuzzified Dynamical Systems ⋮ Limit cycles of a Liénard system with symmetry allowing for discontinuity ⋮ Novel design for bifurcation control in a delayed fractional dual congestion model ⋮ FURTHER STUDIES ON LIMIT CYCLE BIFURCATIONS FOR PIECEWISE SMOOTH NEAR-HAMILTONIAN SYSTEMS WITH MULTIPLE PARAMETERS<inline-formula><tex-math id="M1">$ ^* $</tex-math></inline-formula> ⋮ Limit cycles in two kinds of quadratic reversible systems with non-smooth perturbations ⋮ Perturbation of a period annulus bounded by a saddle-saddle cycle in a hyperelliptic Hamiltonian systems of degree seven ⋮ On Euler preconditioned SHSS iterative method for a class of complex symmetric linear systems ⋮ Period-doubling and Neimark-Sacker bifurcations of plant-herbivore models ⋮ Stability and Bifurcation Control in a Fractional Predator–Prey Model via Extended Delay Feedback ⋮ Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications ⋮ Global Analysis of an Asymmetric Continuous Piecewise Linear Differential System with Three Linear Zones ⋮ Bifurcation of periodic orbits and its application for high-dimensional piecewise smooth near integrable systems with two switching manifolds ⋮ EXACT BOUND ON THE NUMBER OF LIMIT CYCLES ARISING FROM A PERIODIC ANNULUS BOUNDED BY A SYMMETRIC HETEROCLINIC LOOP ⋮ SOME ITERATIVE ALGORITHMS FOR POSITIVE DEFINITE SOLUTION TO NONLINEAR MATRIX EQUATIONS ⋮ PAHSS-PTS ALTERNATING SPLITTING ITERATIVE METHODS FOR NONSINGULAR SADDLE POINT PROBLEMS ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries
Cites Work
- Limit cycle bifurcations by perturbing piecewise smooth Hamiltonian systems with multiple parameters
- Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters
- Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system
- Limit cycles near homoclinic and heteroclinic loops
- On Hopf bifurcation in non-smooth planar systems
- Nonlinear differential equations and dynamical systems
- Limit cycle bifurcations by perturbing a compound loop with a cusp and a nilpotent saddle
- On the birth of limit cycles for non-smooth dynamical systems
- Poincaré bifurcation of a three-dimensional system
- Averaging theory for discontinuous piecewise differential systems
- Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
- Equivalence of the Melnikov function method and the averaging method
- Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+ 2)–dimension
- Limit Cycle Bifurcations by Perturbing a Piecewise Hamiltonian System with a Double Homoclinic Loop
- BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
- Bifurcations of periodic orbits, subharmonic solutions and invariant Tori of high-dimensional systems
- BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION
- HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
- Unnamed Item
