CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS
From MaRDI portal
Publication:4918281
DOI10.1142/S0129183112500143zbMath1297.37041MaRDI QIDQ4918281
Angeles Dena, Sławomir Piasecki, Roberto Barrio, Fernando Blesa
Publication date: 24 April 2013
Published in: International Journal of Modern Physics C (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Simulation of dynamical systems (37M05)
Related Items (1)
Cites Work
- Spurious structures in chaos indicators maps
- Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems
- Escape regions of a quartic potential
- Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's problem
- Bifurcations of periodic trajectories in non-integrable Hamiltonian systems with two degrees of freedom: Numerical and analytical results
- Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries
- The Lissajous transformation. II: Normalization
- Continuation of periodic orbits in conservative and Hamiltonian systems
- On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows
- An efficient method for locating and computing periodic orbits of nonlinear mappings
- Approximate general solution of the two-dimensional Duffing dynamical system
- BIFURCATIONS OF PERIODIC ORBITS AND INTEGRABILITY OF DYNAMICAL SYSTEMS
- The geometry of reaction dynamics
- New methods in celestial mechanics and mission design
- PAINTING CHAOS: A GALLERY OF SENSITIVITY PLOTS OF CLASSICAL PROBLEMS
- A grid search for families of periodic orbits in the restricted problem of three bodies
- Complete Poincare sections and tangent sets
- Analytical perturbative approach to periodic orbits in the homogeneous quartic oscillator potential
- Existence of stable orbits in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">y</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>potential
- Controlling chaos
- Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
- Global bifurcations in the Takens-Bogdanov normal form with \(D_4\) symmetry near the \(O(2)\) limit
- On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool
- A new class of integrable systems
This page was built for publication: CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS