Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Nonlinear Dyn

Search In Journal Title:

Abbravation: Nonlinear Dynamics

Search In Journal Abbravation:

Publisher

Springer Netherlands

Search In Publisher:

DOI

10.1002/prot.10351

Search In DOI:

ISSN

1573-269X

Search In ISSN:
Search In Title Of Papers:

A novel construction of homoclinic and heteroclini

Authors: Y Y Cao K W Chung J Xu
Publish Date: 2011/03/16
Volume: 64, Issue: 3, Pages: 221-236
PDF Link

Abstract

A novel construction of homoclinic/heteroclinic orbits HOs in nonlinear oscillators is presented in this paper An accurate analytical solution of a HO for small perturbation can be obtained in terms of trigonometric functions An advantage of the present construction is that it gives an accurate approximate solution of a HO for large parametric value in relatively few harmonic terms while other analytical methods such as the Lindstedt–Poincaré method and the multiple scales method fail to do so

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Exponential synchronization of stochastic delayed discrete-time complex networks
  2. Noether theorem for non-conservative systems with time delay in phase space based on fractional model
  3. A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems
  4. Resonance and Bifurcation in a Nonlinear Duffing System with Cubic Coupled Terms
  5. Modelling and analysis of spatio-temporal dynamics of a marine ecosystem
  6. Adaptive fuzzy tracking control design for permanent magnet synchronous motors with output constraint
  7. Parameter identification and chaos synchronization for uncertain coupled map lattices
  8. Output-based discrete-time sliding mode control for a piezoelectrically actuated system
  9. Periodic and quasiperiodic galloping of a wind-excited tower under external excitation
  10. Dynamics of a nearly symmetrical piecewise linear oscillator close to grazing incidence: Modelling and experimental verification
  11. Optimal sliding mode control of a robot manipulator under uncertainty using PSO
  12. An evolutionary approach for the motion planning of redundant and hyper-redundant manipulators
  13. A backstepping-based procedure with saturation functions to control the PVTOL system
  14. Hopf bifurcation control for stochastic dynamical system with nonlinear random feedback method
  15. A note on adaptive observer for the Lur’e differential inclusion system
  16. Steady-State dynamics of a linear structure weakly coupled to an essentially nonlinear oscillator
  17. Stochastic optimal control of predator–prey ecosystem by using stochastic maximum principle
  18. Decentralized adaptive output feedback fuzzy controller for a class of large-scale nonlinear systems
  19. Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations
  20. Chaos-based engineering applications with a 3D chaotic system without equilibrium points
  21. Two modes nonresonant interaction for rectangular plate with geometrical nonlinearity
  22. Segmented inner composition alignment to detect coupling of different subsystems
  23. Takagi–Sugeno fuzzy generalized predictive control for a class of nonlinear systems
  24. Resonance and vibration control of two-degree-of-freedom nonlinear electromechanical system with harmonic excitation
  25. Multiscale behavior of financial time series model from Potts dynamic system
  26. Identification for disturbed MIMO Wiener systems
  27. Qualitative behaviors of the continuous-time chaotic dynamical systems describing the interaction of waves in plasma
  28. Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays
  29. Bifurcations and chaos in a two-dimensional discrete Hindmarsh–Rose model
  30. Distributed consensus-based formation control for nonholonomic wheeled mobile robots using adaptive neural network
  31. Changing the representation and improving stability in time-stepping analysis of structural non-linear dynamics
  32. Bifurcation analysis of a tri-neuron neural network model in the frequency domain
  33. Dynamic instability of inclined cables under combined wind flow and support motion
  34. Dynamics in two nonsmooth predator–prey models with threshold harvesting
  35. Fractional WKB approximation
  36. Three winged lateen shaped chaotic attractor
  37. Vibration suppression of a time-varying stiffness AMB bearing to multi-parametric excitations via time delay controller
  38. Quasi-time-optimal controller design for a rigid-flexible multibody system via absolute coordinate-based formulation
  39. Robust state estimation for discrete-time genetic regulatory networks with randomly occurring uncertainties
  40. Classifying orbits in the classical Hénon–Heiles Hamiltonian system
  41. Absolute term introduced to rebuild the chaotic attractor with constant Lyapunov exponent spectrum
  42. Verification of simulation for unwinding motion of cable in water by physical experiment
  43. A revised key agreement protocol based on chaotic maps
  44. New limit cycles of dry friction oscillators under harmonic load
  45. Moment Lyapunov exponent and stochastic stability of binary airfoil driven by non-Gaussian colored noise
  46. The Routh–Hurwitz conditions of fractional type in stability analysis of the Lorenz dynamical system
  47. A spherical chaotic system
  48. The Riemann–Bäcklund method to a quasiperiodic wave solvable generalized variable coefficient ($$\varvec{}$$)-dimensional KdV equation
  49. Theoretical and experimental study on remote dynamic balance control for a suspended wheeled mobile manipulator
  50. Metamorphoses of basin boundaries with complex topology in an archetypal oscillator
  51. The complex dynamics of R&D competition models of three oligarchs with heterogeneous players
  52. Adaptive synchronization of chaotic systems with unknown parameters via new backstepping strategy
  53. Response regimes in linear oscillator with 2DOF nonlinear energy sink under periodic forcing
  54. An adaptive fuzzy sliding mode controller for MEMS triaxial gyroscope with angular velocity estimation
  55. A set of ordinary differential equations of motion for constrained mechanical systems
  56. Minimum distance and optimal transformations on SO( N )
  57. Control and synchronization for a class of new chaotic systems via linear feedback
  58. Nonlinear vibrations of a flexible membrane under periodic load
  59. Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua’s circuit
  60. Experimental evidence of non-standard bifurcations in non-smooth oscillator dynamics
  61. Hopf bifurcation for a small-world network model with parameters delay feedback control
  62. Relaxation oscillation and attractive basins of a two-neuron Hopfield network with slow and fast variables
  63. The renormalization method based on the Taylor expansion and applications for asymptotic analysis
  64. An efficient scheme for digital watermarking using chaotic map
  65. Design of nonlinear isochronous oscillators
  66. Bifurcation and nonlinear dynamic analysis of noncircular aerodynamic journal bearing system
  67. Parametric identification of a chaotic base-excited double pendulum experiment
  68. Nonlinear dynamic analysis of a parametrically excited vehicle–bridge interaction system
  69. Dynamics of a close-loop controlled MEMS resonator
  70. Fractional integral sliding modes for robust tracking of nonlinear systems
  71. Robust fault-tolerant control for flexible spacecraft against partial actuator failures
  72. Min-max criterion to the optimal design of vibration absorber in a system with Coulomb friction and viscous damping
  73. Implementation of chaotic circuits with a digital time-delay block
  74. Hall and heat transfer effects on the steady flow of a generalized Burgers’ fluid induced by a sudden pull of eccentric rotating disks
  75. Lax pair, conservation laws, and multi-shock wave solutions of the DJKM equation with Bell polynomials and symbolic computation
  76. Adaptive robust fuzzy control for a class of uncertain chaotic systems
  77. Flocking of networked Euler–Lagrange systems with uncertain parameters and time-delays under directed graphs
  78. Modeling of geometric, material and damping nonlinearities in piezoelectric energy harvesters
  79. The study for continuum model considering traffic jerk effect
  80. Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg–de Vries equation in fluids
  81. On stability, persistence, and Hopf bifurcation in fractional order dynamical systems
  82. Exploring the analogy for adaptive attitude control of a ground-based satellite system
  83. Optimization analysis of Duffing oscillator with fractional derivatives
  84. Robust decentralized adaptive nonquadratic congestion control algorithm for a class of delayed networks
  85. On stability analysis via Lyapunov exponents calculated from a time series using nonlinear mapping—a case study
  86. Stability, convergence, limit cycles and chaos in some models of population dynamics
  87. On the rotational equations of motion in rigid body dynamics when using Euler parameters
  88. $${\mathcal {H}}_\infty $$ control of continuous-time uncertain linear systems with quantized-input saturation and external disturbances
  89. A new study of chaotic behavior and the existence of Feigenbaum’s constants in fractional-degree Yin–Yang Hénon maps
  90. A single adaptive controller with one variable for synchronizing two identical time delay hyperchaotic Lorenz systems with mismatched parameters
  91. Adaptive control of a chaotic permanent magnet synchronous motor
  92. Nonlinear lateral-torsional coupled motion of a rotor contacting a viscoelastically suspended stator
  93. Dynamics at infinity and other global dynamical aspects of Shimizu–Morioka equations
  94. Dynamics and trajectory tracking control of cooperative multiple mobile cranes
  95. To obtain approximate probability density functions for a class of axially moving viscoelastic plates under external and parametric white noise excitation
  96. Dynamics and trajectory tracking control of cooperative multiple mobile cranes
  97. Bifurcation analysis and circuit realization for multiple-delayed Wang–Chen system with hidden chaotic attractors
  98. A new lattice hydrodynamic model for bidirectional pedestrian flow considering the visual field effect
  99. A new image encryption method: parallel sub-image encryption with hyper chaos
  100. Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of time
Search Result: