Add to ORKGThe last few years have seen a rebirth of the importance of complex trajectories. In addition to the classic uses (saddle point approximation of path integrals and complex paths for PT-symmetric Hamiltonians), the transitions on the Riemann surface sheets as a possible (deterministic) explanation of classical chaos are also popular. The pendulum is the perfect example to study complex trajectories. This shows trajectories of a pendulum in the complex plane for complex initial conditions and complex time running along a ray through the origin of the complex time planeEducação Superior::Ciências Exatas e da Terra::Matemátic
This book introduces and explores modern developments in the well established field of Hamiltonian d...
A nonlinear pendulum is designed to demonstrate the chaotic instability of trajectories. Here, we pr...
We prove the existence of complex dynamics for a generalized pendulum type equation with variable le...
The last few years have seen a rebirth of the importance of complex trajectories. In addition to the...
Educação Superior::Ciências Exatas e da Terra::MatemáticaApparently simple physical systems often ha...
We provide an example of how the complex dynamics of a recently introduced model can be understood v...
We investigate the dynamics defined by the following set of three coupled first-order ODEs: (z) over...
A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators ...
Anderson et al have shown that for complex energies, the classical trajectories of real quartic pote...
This paper is part of a program that aims to understand the connection between the emergence of chao...
We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a three-body proble...
The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex ...
In this thesis we investigate a chaos in dynamical systems described by the Hamilton function using ...
We show that an inverted pendulum that is balanced on a cart by linear delayed feedback control may ...
textQuantum trajectories are investigated within the complex quantum Hamilton-Jacobi formalism. A un...
This book introduces and explores modern developments in the well established field of Hamiltonian d...
A nonlinear pendulum is designed to demonstrate the chaotic instability of trajectories. Here, we pr...
We prove the existence of complex dynamics for a generalized pendulum type equation with variable le...
The last few years have seen a rebirth of the importance of complex trajectories. In addition to the...
Educação Superior::Ciências Exatas e da Terra::MatemáticaApparently simple physical systems often ha...
We provide an example of how the complex dynamics of a recently introduced model can be understood v...
We investigate the dynamics defined by the following set of three coupled first-order ODEs: (z) over...
A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators ...
Anderson et al have shown that for complex energies, the classical trajectories of real quartic pote...
This paper is part of a program that aims to understand the connection between the emergence of chao...
We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a three-body proble...
The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex ...
In this thesis we investigate a chaos in dynamical systems described by the Hamilton function using ...
We show that an inverted pendulum that is balanced on a cart by linear delayed feedback control may ...
textQuantum trajectories are investigated within the complex quantum Hamilton-Jacobi formalism. A un...
This book introduces and explores modern developments in the well established field of Hamiltonian d...
A nonlinear pendulum is designed to demonstrate the chaotic instability of trajectories. Here, we pr...
We prove the existence of complex dynamics for a generalized pendulum type equation with variable le...