Practical implementation of nonlinear time series methods: The TISEAN package
We describe the implementation of methods of nonlinear time series analysis which are
based on the paradigm of deterministic chaos. A variety of algorithms for data …
based on the paradigm of deterministic chaos. A variety of algorithms for data …
Recent developments in chaotic time series analysis
In this paper, two issues are addressed:(1) the applicability of the delay-coordinate
embedding method to transient chaotic time series analysis, and (2) the Hilbert transform …
embedding method to transient chaotic time series analysis, and (2) the Hilbert transform …
A new directional stability transformation method of chaos control for first order reliability analysis
The HL-RF iterative algorithm of the first order reliability method (FORM) is popularly applied
to evaluate reliability index in structural reliability analysis and reliability-based design …
to evaluate reliability index in structural reliability analysis and reliability-based design …
Self-organized adaptation of a simple neural circuit enables complex robot behaviour
Controlling sensori-motor systems in higher animals or complex robots is a challenging
combinatorial problem, because many sensory signals need to be simultaneously …
combinatorial problem, because many sensory signals need to be simultaneously …
Stability transformation: a tool to solve nonlinear problems
We present an analysis of the properties as well as the diverse applications and extensions
of the method of stabilisation transformation. This method was originally invented to detect …
of the method of stabilisation transformation. This method was originally invented to detect …
Walking dynamics of the passive compass-gait model under OGY-based control: emergence of bifurcations and chaos
An analysis of the passive dynamic walking of a compass-gait biped model under the OGY-
based control approach using the impulsive hybrid nonlinear dynamics is presented in this …
based control approach using the impulsive hybrid nonlinear dynamics is presented in this …
Walking dynamics of the passive compass-gait model under OGY-based state-feedback control: Analysis of local bifurcations via the hybrid Poincaré map
In our previous work, we have analyzed the passive dynamic walking of the compass-gait
biped model under the OGY-based state-feedback control using the impulsive hybrid …
biped model under the OGY-based state-feedback control using the impulsive hybrid …
Topological mixing with ghost rods
Topological chaos relies on the periodic motion of obstacles in a two-dimensional flow in
order to form nontrivial braids. This motion generates exponential stretching of material …
order to form nontrivial braids. This motion generates exponential stretching of material …
Estimating generating partitions of chaotic systems by unstable periodic orbits
An outstanding problem in chaotic dynamics is to specify generating partitions for symbolic
dynamics in dimensions larger than 1. It has been known that the infinite number of unstable …
dynamics in dimensions larger than 1. It has been known that the infinite number of unstable …
Period-three route to chaos induced by a cyclic-fold bifurcation in passive dynamic walking of a compass-gait biped robot
This paper presents a study of the passive dynamic walking of a compass-gait biped robot
as it goes down an inclined plane. This biped robot is a two-degrees-of-freedom mechanical …
as it goes down an inclined plane. This biped robot is a two-degrees-of-freedom mechanical …