11th Chaotic Modeling and Simulation International Conference

1. Front Matter

   Pages i-xiii

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2. Gravitational Waves, Relic Photons and Higgs Boson in a Fractal Models of the Universe

   • Valeriy S. Abramov

   Pages 1-14

3. Effect of Ordering of Displacement Fields Operators of Separate Quantum Dots, Elliptical Cylinders on the Deformation Field of Coupled Fractal Structures

   • Olga P. Abramova, Andrii V. Abramov

   Pages 15-26

4. Percolation Process in the Presence of Velocity Fluctuations: Two-Loop Approximation

   • Šarlota Birnšteinová, Michal Hnatič, Tomáš Lučivjanský, Lukáš Mižišin

   Pages 27-36

5. Phase Transition in Incompressible Active Fluid: Effect of Long-Range Interactions

   • Šarlota Birnšteinova, Juha Honkonen, Tomáš Lučivjanský, Viktor Škultéty

   Pages 37-49

6. On the Exponential Decay of Solutions in Dual-Phase-Lag Porous Thermoelasticity

   • José R. Fernández, Antonio Magaña, Ramón Quintanilla

   Pages 51-63

7. Dynamical Invariant Calculations Involving Evolution Equations with Discontinuities

   • Avadis Hacınlıyan, Engin Kandıran

   Pages 65-75

8. Gröbner Basis Method in FitzHugh-Nagumo Model

   • Veronika Hajnová

   Pages 77-84

9. Digital Signature: Quantum Chaos Approach and Bell States

   • Nafiseh Hematpour, Sodeif Ahadpour, Sohrab Behnia

   Pages 85-93

10. Large Scale Behavior of Generalized Stochastic Magnetohydrodynamic Turbulence with Mirror Symmetry Breaking

    • Michal Hnatič, Georgii Kalagov, Tomáš Lučivjanský, Peter Zalom

    Pages 95-111

11. Modeling Turbulence via Numerical Functional Integration

    • Ilja Honkonen, Juha Honkonen

    Pages 113-121

12. Nonlinear Noise Reduction on TESS Simulated Data

    • N. Jevtić, S. Shaffer, P. Stine

    Pages 123-133

13. A Phase-Space Approach to Non-stationary Nonlinear Systems

    • Vladimir L. Kalashnikov, Sergey L. Cherkas

    Pages 135-147

14. Spatial Extent of an Attractor

    • Avadis Hacınlıyan, Engin Kandıran

    Pages 149-158

15. The FitzHugh-Nagumo Model and Spatiotemporal Fractal Sets Based on Time-Dependent Chaos Functions

    • Shunji Kawamoto

    Pages 159-173

16. Stochastic Navier-Stokes Equation for a Compressible Fluid: Two-Loop Approximation

    • Michal Hnatič, Nikolay M. Gulitskiy, Tomáš Lučivjanský, Lukáš Mižišin, Viktor Škultéty

    Pages 175-187

17. Stability of a Nonlinear Viscoelastic Problem Governed by Lamé Operator

    • Meflah Mabrouk, Khoukhi Alae Nore

    Pages 189-194

18. Renormalization Group Approach of Directed Percolation: Three-Loop Approximation

    • L. Ts. Adzhemyan, M. Hnatič, M. V. Kompaniets, T. Lučivjanský, L. Mižišin

    Pages 195-204

19. Reduced-Order Modeling of the Fluidic Pinball

    • Luc R. Pastur, Nan Deng, Marek Morzyński, Bernd R. Noack

    Pages 205-213

20. Bifurcations of One-Dimensional One-Parametric Maps Revisited

    • Lenka Přibylová

    Pages 215-227

Gathering the proceedings of the 11th CHAOS2018 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. 


The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies. 

• Non-linear dynamical systems
• Attractors and fractals
• Neural Synchronisation
• Turbulent systems
• Separatrix Chaos
• topology and absorption
• Chaos theory
• Complex dynamics
• complexity

• ManLab, Technical University of Crete, Chania, Crete, Greece

  Christos H. Skiadas

• Complex Systems Modeling Laboratory, The University of Aizu, Aizuwakamatsu, Fukushima, Japan

  Ihor Lubashevsky

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