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Visualizing the Dynamics
               of
Disruptive Business Strategies
               by
         Vietanh Nguyen
“I’m interested in re-architecting society. Business is just one tool for
achieving this goal. It’s definitely the best tool we’ve found for unleashing the
power of disruptive technology at mass scale… It certainly works better than
government.”
                                                              -- Sean Parker
Introduction

A construct in the dynamical systems theory known as the cusp
catastrophe can be used to describe the dynamics of disruptive
business strategies.
The Cusp

The cusp consists of two parts:

•   a behavior surface, and
•   a control plane

The folds in the behavior surface are projected down onto a
bifurcation set in the control plane which consists of two lines
joining in a cusp.
The Cusp
The Cusp

As the two parameters of the control plane are varied, a control point
traces out a path called the control trajectory. At the same time, a
behavior point moves along a trajectory in the behavior
surface, directly above the control trajectory. Smooth variations in the
control parameters almost always result in smooth variation in the
behavior variable. The only exceptions occur when the control
trajectory crosses the bifurcation set. If the bifurcation set is crossed
from the inside to the outside, a disruptive change or a sudden jump in
the behavior trajectory will occur.
The Cusp
First there is an ocean
Then there is no ocean
Then there is.
Blue Oceans and Red Oceans
Alternate Configuration of Blue Ocean
Alternate Configuration of Blue Ocean
Crossing the Chasm
Crossing the Chasm

“Then comes a period during which the rest of the world watches to see if
anything can be made of this; that is the chasm. If in fact something does
come out of it – if a value proposition is discovered that can predictably be
delivered to a targetable set of customers at a reasonable price – then a new
mainstream market forms, typically with a rapidity that allows its initial
leaders to become very, very successful.”
                                                    -- Geoffrey Moore
Differentiated, Low Cost and Stuck in the Middle
Differentiated, Low Cost and Stuck in the Middle

• Any point in the bifurcation set, especially those in the
  middle, exhibits a behavior tendency “to flip back and forth
  over time among the generic strategies” of the stuck in the
  middle.

• The stuck in the middle is further signified by the appearance
  of a cusp-shaped pocket of compromise behavior midway
  between the two extreme behaviors of differentiated and low
  cost represented by the upper and lower surfaces of the cusp.
Aspiration Map

• In the context of disruptive business strategies, the control
  plane of the cusp can be approximated by what is known as
  the aspiration map. The bifurcation set in the plane would
  correspond to a place on the map appropriately called the
  disruptive innovation model.

• Reference of the aspiration map:
  http://www.slideshare.net/RodKing/meta-tools-for-business-model-
  project-management-dr-rod-king
Shifts in Customer Delight and
         Thermodynamic Phase Transitions

• Same equation describes both cusp catastrophe and phase
  transitions in thermodynamics.

• The phase transition from gas to liquid may serve as a
  metaphor for the shift in customer delight from a state of
  being scattered (gas) or distraction to a state of being
  concentrated (liquid) or devotion.
Conclusion

Using the cusp catastrophe of the dynamical systems
theory, disruptive business strategies can be modeled and
visualized for insights and potentially for predictions.
References

• Jones, Dixon D. (1975), The Application of Catastrophe Theory to
  Ecological Systems
• Kim, W Chan and Mauborgne, Renee (2005), Blue Ocean Strategy
• Moore, Geoffrey (1991), Crossing the Chasm
• Porter, Michael (1980), Competitive Strategy
• Scheffer, Marten (2009), Critical Transitions in Nature and Society
• Thom, Rene (1975), Structural Stability and Morphogenesis
• Zeeman, Christopher (1977), Catastrophe Theory: Selected Papers
  1972-1977

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Visualizing the Dynamics of Disruptive Business Strategies

  • 1. Visualizing the Dynamics of Disruptive Business Strategies by Vietanh Nguyen
  • 2. “I’m interested in re-architecting society. Business is just one tool for achieving this goal. It’s definitely the best tool we’ve found for unleashing the power of disruptive technology at mass scale… It certainly works better than government.” -- Sean Parker
  • 3. Introduction A construct in the dynamical systems theory known as the cusp catastrophe can be used to describe the dynamics of disruptive business strategies.
  • 4. The Cusp The cusp consists of two parts: • a behavior surface, and • a control plane The folds in the behavior surface are projected down onto a bifurcation set in the control plane which consists of two lines joining in a cusp.
  • 6. The Cusp As the two parameters of the control plane are varied, a control point traces out a path called the control trajectory. At the same time, a behavior point moves along a trajectory in the behavior surface, directly above the control trajectory. Smooth variations in the control parameters almost always result in smooth variation in the behavior variable. The only exceptions occur when the control trajectory crosses the bifurcation set. If the bifurcation set is crossed from the inside to the outside, a disruptive change or a sudden jump in the behavior trajectory will occur.
  • 8.
  • 9. First there is an ocean Then there is no ocean Then there is.
  • 10. Blue Oceans and Red Oceans
  • 14. Crossing the Chasm “Then comes a period during which the rest of the world watches to see if anything can be made of this; that is the chasm. If in fact something does come out of it – if a value proposition is discovered that can predictably be delivered to a targetable set of customers at a reasonable price – then a new mainstream market forms, typically with a rapidity that allows its initial leaders to become very, very successful.” -- Geoffrey Moore
  • 15. Differentiated, Low Cost and Stuck in the Middle
  • 16. Differentiated, Low Cost and Stuck in the Middle • Any point in the bifurcation set, especially those in the middle, exhibits a behavior tendency “to flip back and forth over time among the generic strategies” of the stuck in the middle. • The stuck in the middle is further signified by the appearance of a cusp-shaped pocket of compromise behavior midway between the two extreme behaviors of differentiated and low cost represented by the upper and lower surfaces of the cusp.
  • 17. Aspiration Map • In the context of disruptive business strategies, the control plane of the cusp can be approximated by what is known as the aspiration map. The bifurcation set in the plane would correspond to a place on the map appropriately called the disruptive innovation model. • Reference of the aspiration map: http://www.slideshare.net/RodKing/meta-tools-for-business-model- project-management-dr-rod-king
  • 18. Shifts in Customer Delight and Thermodynamic Phase Transitions • Same equation describes both cusp catastrophe and phase transitions in thermodynamics. • The phase transition from gas to liquid may serve as a metaphor for the shift in customer delight from a state of being scattered (gas) or distraction to a state of being concentrated (liquid) or devotion.
  • 19. Conclusion Using the cusp catastrophe of the dynamical systems theory, disruptive business strategies can be modeled and visualized for insights and potentially for predictions.
  • 20. References • Jones, Dixon D. (1975), The Application of Catastrophe Theory to Ecological Systems • Kim, W Chan and Mauborgne, Renee (2005), Blue Ocean Strategy • Moore, Geoffrey (1991), Crossing the Chasm • Porter, Michael (1980), Competitive Strategy • Scheffer, Marten (2009), Critical Transitions in Nature and Society • Thom, Rene (1975), Structural Stability and Morphogenesis • Zeeman, Christopher (1977), Catastrophe Theory: Selected Papers 1972-1977

Editor's Notes

  1. Geoffrey Moore’s insight: After having delighted a few visionary customers in an early market, in order to appeal to new customers in a mainstream market, who are predominantly pragmatists in orientation, a new product will need to offer not only advanced features but also ease of use and low lost.
  2. The behavior surface of the canonical cusp catastrophe is diffeomorphic to the surface represented by the equation describing the changing state from gas to liquid. The phase transition from gas to liquid may serve as a metaphor for the shift in customer delight from a state of being scattered (gas) or distraction to a state of being concentrated (liquid) or devotion.