Construction of special soliton solutions to the stochastic Riccati equation
Open Mathematics, 2022 A scheme for the analytical stochastization of ordinary differential equations (ODEs) is presented in this article. Using Itô calculus, an ODE is transformed into a stochastic differential equation (SDE) in such a way that the analytical solutions of the
Navickas Zenonas +4 more
doaj +1 more source
Chaotification of One-Dimensional Maps Based on Remainder Operator Addition
Mathematics, 2022 In this work, a chaotification technique is proposed that can be used to enhance the complexity of any one-dimensional map by adding the remainder operator to it. It is shown that by an appropriate parameter choice, the resulting map can achieve a higher
Lazaros Moysis +3 more
doaj +1 more source
Linear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions [PDF]
, 2006 The Volterra series approach has been widely used for the analysis of nonlinear systems. Based on the Volterra series, a novel concept named Nonlinear Output Frequency Response Functions (NOFRFs) was proposed by the authors.
Billings, S.A., Lang, Z.Q., Peng, Z.K.
core +4 more sources
A novel approach for nonlinearity detection in vibrating systems [PDF]
, 2008 This paper proposes a novel approach for nonlinearity detection in vibrating systems. The approach is developed based on a new concept recently proposed by the author known as nonlinear output frequency response functions (NOFRFs) and the properties of ...
Lang, Z.Q., Peng, Z.K.
core +1 more source
Collective Memory: Transposing Pavlov’s Experiment to Robot Swarms
Applied Sciences, 2021 Remembering information is a fundamental aspect of cognition present in numerous natural systems. It allows adaptation of the behavior as a function of previously encountered situations. For instance, many living organisms use memory to recall if a given
Alexandre Campo +2 more
doaj +1 more source
Discontinuous rate-stiffening in a granular composite modeled after cornstarch and water
Nature Communications, 2019 Cornstarch and water is a mixture that solidifies under impact. The authors find that ordinary sand behaves in a similar way when coated with a thin layer of viscoelastic polymer, suggesting a potential route for designing materials which respond ...
David Z. Chen +3 more
doaj +1 more source
Linearization and input-output decoupling for general nonlinear systems [PDF]
, 1984 Necessary and sufficient conditions are obtained for the linearization and input decoupling (by state feedback) of general nonlinear systems. It is shown how these conditions can be derived from the already known conditions for affine nonlinear systems ...
Schaft, A.J. van der
core +4 more sources
Quantized valley Hall response from local bulk density variations
Communications Physics, 2023 The application of a mechanical strain to a 2D material can create pseudo-magnetic fields and lead to a quantized valley Hall effect. However, measuring valley-resolved effects remains a challenging task due to their inherent fragility and dependence on ...
Maxime Jamotte +4 more
doaj +1 more source
Information Hiding Based on Statistical Features of Self-Organizing Patterns
Entropy, 2022 A computational technique for the determination of optimal hiding conditions of a digital image in a self-organizing pattern is presented in this paper.
Loreta Saunoriene +3 more
doaj +1 more source
Ascertaining when a basin is Wada: the merging method
Scientific Reports, 2018 Trying to imagine three regions separated by a unique boundary seems a difficult task. However, this is exactly what happens in many dynamical systems showing Wada basins.
Alvar Daza +2 more
doaj +1 more source