Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Plastic Deformations

Plastic Deformations

Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their...

Plastic Deformations

Plastic Deformations

It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...

Temperature Dependent Deformation

Temperature Dependent Deformation

In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...

Deformations in a Symmetric Member in Bending

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...

Deformation of Member under Multiple Loadings

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...

Deformation in a Circular Shaft

Deformation in a Circular Shaft

One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Co-existence of periodic bursts and death of cycles in a population dynamics system.

Chaos (Woodbury, N.Y.)·2016

Same author

Impact of climate change on larch budmoth cyclic outbreaks.

Scientific reports·2016

Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026

Same journal

State estimation in spatiotemporal chaos via low-rank StatFEM.

Chaos (Woodbury, N.Y.)·2026

Same journal

Universal response functions in driven dissipative tunneling dynamics.

Chaos (Woodbury, N.Y.)·2026

Same journal

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

Chaos (Woodbury, N.Y.)·2026

Same journal

Data-driven soliton manifold approximations for dark and bright waves: Some prototypical 1D case examples.

Chaos (Woodbury, N.Y.)·2026

Same journal

Gap junction architecture and synchronization clusters in the thalamic reticular nuclei.

Chaos (Woodbury, N.Y.)·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Feb 1, 2026

Tracking Morphogenetic Tissue Deformations in the Early Chick Embryo

Tracking Morphogenetic Tissue Deformations in the Early Chick Embryo

Published on: October 17, 2011

The q-deformed Tinkerbell map.

Sudharsana V Iyengar¹, Janaki Balakrishnan¹

¹School of Natural Sciences and Engineering, National Institute of Advanced Studies, Indian Institute of Science Campus, Bangalore 560 012, India.

Chaos (Woodbury, N.Y.)

|December 4, 2018

Summary

This summary is machine-generated.

Q-deformed Tinkerbell maps exhibit complex dynamics, including multiple co-existing attractors. This study demonstrates their potential for secure data encryption and decryption using initial conditions and deformation parameters.

More Related Videos

A Microfluidic Technique to Probe Cell Deformability

A Microfluidic Technique to Probe Cell Deformability

Published on: September 3, 2014

Measuring Deformability and Red Cell Heterogeneity in Blood by Ektacytometry

Measuring Deformability and Red Cell Heterogeneity in Blood by Ektacytometry

Published on: January 12, 2018

Related Experiment Videos

Last Updated: Feb 1, 2026

Tracking Morphogenetic Tissue Deformations in the Early Chick Embryo

Tracking Morphogenetic Tissue Deformations in the Early Chick Embryo

Published on: October 17, 2011

A Microfluidic Technique to Probe Cell Deformability

A Microfluidic Technique to Probe Cell Deformability

Published on: September 3, 2014

Measuring Deformability and Red Cell Heterogeneity in Blood by Ektacytometry

Measuring Deformability and Red Cell Heterogeneity in Blood by Ektacytometry

Published on: January 12, 2018

Area of Science:

* Dynamical systems
* Chaos theory
* Mathematical physics

Background:

* Q-deformations are mathematical tools used to explain experimental phenomena.
* The Tinkerbell map is a discrete dynamical system known for its complex behavior.

Purpose of the Study:

* To investigate the dynamical behavior of the Tinkerbell map under q-deformations.
* To explore the potential of q-deformed Tinkerbell maps for secure communication.

Main Methods:

* Numerical analysis of the Tinkerbell map with varying q-deformation parameters.
* Investigation of bifurcations, attractors, and multistability.
* Application of the system's sensitivity for cryptographic purposes.

Main Results:

* Rich dynamical behaviors observed, including interior crises and cascades.
* Simultaneous occurrence of Neimark-Sacker and reverse Neimark-Sacker bifurcations.
* Existence of 3 co-existing limit cycles in specific parameter ranges.
* Demonstrated secure encryption and decryption of messages.

Conclusions:

* Q-deformed Tinkerbell maps display complex dynamics and multistability.
* The system's sensitivity allows for secure data transmission.
* Proposed as a novel method for secure message encryption and decryption.