scientific article; zbMATH DE number 1016808

zbMath0894.65036MaRDI QIDQ4338990

Donald Steiger, William T. Patula, Stephen L. Clark, Carmen C. Chicone, Calvin D. Ahlbrandt

Publication date: 7 September 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

chaotic dynamicsphase spaceapproximate first integralsdiscrete Hamiltonian systemsHamiltonian ordinary differential equationschoice of stepsizePoincaré method of sections

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (7)

Symplectic difference systems: Variable stepsize discretization and discrete quadratic functionals ⋮ Existence of homoclinic orbits for a class of asymptotically \(p\)-linear difference systems with \(p\)-Laplacian ⋮ Existence of periodic solutions for a class of asymptotically \(p\)-linear discrete systems involving \(p\)-Laplacian ⋮ Existence of periodic solutions for a class of difference systems with \(p\)-Laplacian ⋮ Existence of periodic solutions for a class of discrete Hamiltonian systems ⋮ Discrete optimal control: The accessory problem and necessary optimality conditions ⋮ Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions

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